diff --git a/src/storage/conversion/ConstantConverter.ts b/src/storage/conversion/ConstantConverter.ts
index a19cce4be..fa7a8d7af 100644
--- a/src/storage/conversion/ConstantConverter.ts
+++ b/src/storage/conversion/ConstantConverter.ts
@@ -110,10 +110,12 @@ export class ConstantConverter extends RepresentationConverter {
     }
 
     // Only replace the representation if it matches the media range settings
-    if (!this.options.enabledMediaRanges.some((type): boolean => matchesMediaType(sourceContentType, type))) {
+    if (!isContainer &&
+      !this.options.enabledMediaRanges.some((type): boolean => matchesMediaType(sourceContentType, type))) {
       throw new NotImplementedHttpError(`${sourceContentType} is not one of the enabled media types.`);
     }
-    if (this.options.disabledMediaRanges.some((type): boolean => matchesMediaType(sourceContentType, type))) {
+    if (!isContainer &&
+      this.options.disabledMediaRanges.some((type): boolean => matchesMediaType(sourceContentType, type))) {
       throw new NotImplementedHttpError(`${sourceContentType} is one of the disabled media types.`);
     }
   }
diff --git a/test/unit/storage/conversion/ConstantConverter.test.ts b/test/unit/storage/conversion/ConstantConverter.test.ts
index d6d27d66f..d6d322dfe 100644
--- a/test/unit/storage/conversion/ConstantConverter.test.ts
+++ b/test/unit/storage/conversion/ConstantConverter.test.ts
@@ -76,7 +76,7 @@ describe('A ConstantConverter', (): void => {
   it('does not support representations if their content-type is not enabled.', async(): Promise<void> => {
     const preferences = { type: { 'text/html': 1 }};
     const representation = { metadata: new RepresentationMetadata({ [CONTENT_TYPE]: 'text/plain' }) } as any;
-    const args = { identifier: { path: 'container/' }, representation, preferences };
+    const args = { identifier, representation, preferences };
 
     converter = new ConstantConverter('abc/def/index.html', 'text/html', { enabledMediaRanges: [ 'text/turtle' ]});
 
@@ -86,7 +86,7 @@ describe('A ConstantConverter', (): void => {
   it('does not support representations if their content-type is disabled.', async(): Promise<void> => {
     const preferences = { type: { 'text/html': 1 }};
     const representation = { metadata: new RepresentationMetadata({ [CONTENT_TYPE]: 'text/plain' }) } as any;
-    const args = { identifier: { path: 'container/' }, representation, preferences };
+    const args = { identifier, representation, preferences };
 
     converter = new ConstantConverter('abc/def/index.html', 'text/html', { disabledMediaRanges: [ 'text/*' ]});