diff --git a/src/ol/proj.js b/src/ol/proj.js
index 3c219871cf..099f6277b4 100644
--- a/src/ol/proj.js
+++ b/src/ol/proj.js
@@ -10,7 +10,7 @@ import Projection from './proj/Projection.js';
 import Units from './proj/Units.js';
 import _ol_proj_proj4_ from './proj/proj4.js';
 import _ol_proj_projections_ from './proj/projections.js';
-import _ol_proj_transforms_ from './proj/transforms.js';
+import {add as addTransformFunc, clear as clearTransformFuncs, get as getTransformFunc} from './proj/transforms.js';
 
 
 /**
@@ -93,7 +93,7 @@ export function identityTransform(input, opt_output, opt_dimension) {
  */
 export function addProjection(projection) {
   _ol_proj_projections_.add(projection.getCode(), projection);
-  _ol_proj_transforms_.add(projection, projection, cloneTransform);
+  addTransformFunc(projection, projection, cloneTransform);
 }
 
 
@@ -204,7 +204,7 @@ export function addEquivalentProjections(projections) {
   projections.forEach(function(source) {
     projections.forEach(function(destination) {
       if (source !== destination) {
-        _ol_proj_transforms_.add(source, destination, cloneTransform);
+        addTransformFunc(source, destination, cloneTransform);
       }
     });
   });
@@ -227,8 +227,8 @@ export function addEquivalentProjections(projections) {
 export function addEquivalentTransforms(projections1, projections2, forwardTransform, inverseTransform) {
   projections1.forEach(function(projection1) {
     projections2.forEach(function(projection2) {
-      _ol_proj_transforms_.add(projection1, projection2, forwardTransform);
-      _ol_proj_transforms_.add(projection2, projection1, inverseTransform);
+      addTransformFunc(projection1, projection2, forwardTransform);
+      addTransformFunc(projection2, projection1, inverseTransform);
     });
   });
 }
@@ -239,7 +239,7 @@ export function addEquivalentTransforms(projections1, projections2, forwardTrans
  */
 export function clearAllProjections() {
   _ol_proj_projections_.clear();
-  _ol_proj_transforms_.clear();
+  clearTransformFuncs();
 }
 
 
@@ -314,10 +314,8 @@ export function createTransformFromCoordinateTransform(coordTransform) {
 export function addCoordinateTransforms(source, destination, forward, inverse) {
   var sourceProj = get(source);
   var destProj = get(destination);
-  _ol_proj_transforms_.add(sourceProj, destProj,
-      createTransformFromCoordinateTransform(forward));
-  _ol_proj_transforms_.add(destProj, sourceProj,
-      createTransformFromCoordinateTransform(inverse));
+  addTransformFunc(sourceProj, destProj, createTransformFromCoordinateTransform(forward));
+  addTransformFunc(destProj, sourceProj, createTransformFromCoordinateTransform(inverse));
 }
 
 
@@ -392,7 +390,6 @@ export function equivalent(projection1, projection2) {
 export function getTransformFromProjections(sourceProjection, destinationProjection) {
   var sourceCode = sourceProjection.getCode();
   var destinationCode = destinationProjection.getCode();
-  var transformFunc = _ol_proj_transforms_.get(sourceCode, destinationCode);
   if (!transformFunc) {
     var proj4js = _ol_proj_proj4_.get();
     if (typeof proj4js == 'function') {
@@ -411,6 +408,7 @@ export function getTransformFromProjections(sourceProjection, destinationProject
       }
     }
   }
+  var transformFunc = getTransformFunc(sourceCode, destinationCode);
   if (!transformFunc) {
     transformFunc = identityTransform;
   }
diff --git a/src/ol/proj/transforms.js b/src/ol/proj/transforms.js
index f7fc4068b7..c54e3b93b2 100644
--- a/src/ol/proj/transforms.js
+++ b/src/ol/proj/transforms.js
@@ -2,22 +2,21 @@
  * @module ol/proj/transforms
  */
 import _ol_obj_ from '../obj.js';
-var _ol_proj_transforms_ = {};
 
 
 /**
  * @private
  * @type {Object.<string, Object.<string, ol.TransformFunction>>}
  */
-_ol_proj_transforms_.cache_ = {};
+var transforms = {};
 
 
 /**
  * Clear the transform cache.
  */
-_ol_proj_transforms_.clear = function() {
-  _ol_proj_transforms_.cache_ = {};
-};
+export function clear() {
+  transforms = {};
+}
 
 
 /**
@@ -28,15 +27,14 @@ _ol_proj_transforms_.clear = function() {
  * @param {ol.proj.Projection} destination Destination.
  * @param {ol.TransformFunction} transformFn Transform.
  */
-_ol_proj_transforms_.add = function(source, destination, transformFn) {
+export function add(source, destination, transformFn) {
   var sourceCode = source.getCode();
   var destinationCode = destination.getCode();
-  var transforms = _ol_proj_transforms_.cache_;
   if (!(sourceCode in transforms)) {
     transforms[sourceCode] = {};
   }
   transforms[sourceCode][destinationCode] = transformFn;
-};
+}
 
 
 /**
@@ -48,17 +46,16 @@ _ol_proj_transforms_.add = function(source, destination, transformFn) {
  * @param {ol.proj.Projection} destination Destination projection.
  * @return {ol.TransformFunction} transformFn The unregistered transform.
  */
-_ol_proj_transforms_.remove = function(source, destination) {
+export function remove(source, destination) {
   var sourceCode = source.getCode();
   var destinationCode = destination.getCode();
-  var transforms = _ol_proj_transforms_.cache_;
   var transform = transforms[sourceCode][destinationCode];
   delete transforms[sourceCode][destinationCode];
   if (_ol_obj_.isEmpty(transforms[sourceCode])) {
     delete transforms[sourceCode];
   }
   return transform;
-};
+}
 
 
 /**
@@ -67,12 +64,10 @@ _ol_proj_transforms_.remove = function(source, destination) {
  * @param {string} destinationCode The code for the destination projection.
  * @return {ol.TransformFunction|undefined} The transform function (if found).
  */
-_ol_proj_transforms_.get = function(sourceCode, destinationCode) {
+export function get(sourceCode, destinationCode) {
   var transform;
-  var transforms = _ol_proj_transforms_.cache_;
   if (sourceCode in transforms && destinationCode in transforms[sourceCode]) {
     transform = transforms[sourceCode][destinationCode];
   }
   return transform;
-};
-export default _ol_proj_transforms_;
+}
diff --git a/test/spec/ol/format/kml.test.js b/test/spec/ol/format/kml.test.js
index 2210fe34cd..79c3c42504 100644
--- a/test/spec/ol/format/kml.test.js
+++ b/test/spec/ol/format/kml.test.js
@@ -12,7 +12,7 @@ import Point from '../../../../src/ol/geom/Point.js';
 import Polygon from '../../../../src/ol/geom/Polygon.js';
 import {addProjection, addCoordinateTransforms, transform, get as getProjection} from '../../../../src/ol/proj.js';
 import _ol_proj_Projection_ from '../../../../src/ol/proj/Projection.js';
-import _ol_proj_transforms_ from '../../../../src/ol/proj/transforms.js';
+import {remove as removeTransform} from '../../../../src/ol/proj/transforms.js';
 import _ol_style_Circle_ from '../../../../src/ol/style/Circle.js';
 import _ol_style_Fill_ from '../../../../src/ol/style/Fill.js';
 import _ol_style_Icon_ from '../../../../src/ol/style/Icon.js';
@@ -386,10 +386,8 @@ describe('ol.format.KML', function() {
               '</kml>';
           expect(node).to.xmleql(_ol_xml_.parse(text));
 
-          _ol_proj_transforms_.remove(
-              getProjection('EPSG:4326'), getProjection('double'));
-          _ol_proj_transforms_.remove(
-              getProjection('double'), getProjection('EPSG:4326'));
+          removeTransform(getProjection('EPSG:4326'), getProjection('double'));
+          removeTransform(getProjection('double'), getProjection('EPSG:4326'));
         });
 
         it('can write XYM Point geometries', function() {
diff --git a/test/spec/ol/proj/transforms.test.js b/test/spec/ol/proj/transforms.test.js
index ff947ea584..80d674321d 100644
--- a/test/spec/ol/proj/transforms.test.js
+++ b/test/spec/ol/proj/transforms.test.js
@@ -1,13 +1,13 @@
 import _ol_proj_Projection_ from '../../../../src/ol/proj/Projection.js';
-import _ol_proj_transforms_ from '../../../../src/ol/proj/transforms.js';
+import * as transforms from '../../../../src/ol/proj/transforms.js';
 
 
-describe('ol.proj.transforms.remove()', function() {
+describe('transforms.remove()', function() {
 
   var extent = [180, -90, 180, 90];
   var units = 'degrees';
 
-  it('removes functions cached by ol.proj.transforms.add()', function() {
+  it('removes functions cached by transforms.add()', function() {
     var foo = new _ol_proj_Projection_({
       code: 'foo',
       units: units,
@@ -21,15 +21,12 @@ describe('ol.proj.transforms.remove()', function() {
     var transform = function(input, output, dimension) {
       return input;
     };
-    _ol_proj_transforms_.add(foo, bar, transform);
-    var cache = _ol_proj_transforms_.cache_;
-    expect(cache).not.to.be(undefined);
-    expect(cache.foo).not.to.be(undefined);
-    expect(cache.foo.bar).to.be(transform);
+    transforms.add(foo, bar, transform);
+    expect(transforms.get('foo', 'bar')).to.be(transform);
 
-    var removed = _ol_proj_transforms_.remove(foo, bar);
+    var removed = transforms.remove(foo, bar);
     expect(removed).to.be(transform);
-    expect(cache.foo).to.be(undefined);
+    expect(transforms.get('foo', 'bar')).to.be(undefined);
   });
 
 });