diff --git a/src/lib.rs b/src/lib.rs
index 2b99aa0..ace5c68 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -131,6 +131,15 @@ pub enum CheckSupportMethod {
     Head,
 }
 
+/// Which URL should be used for subsequent range requests?
+pub enum RangeRequestUrlSource {
+    /// Use the initial request URL
+    Request,
+
+    /// Use the initial response URL
+    Response,
+}
+
 fn error_for_status(response: reqwest::Response) -> reqwest_middleware::Result<Response> {
     response
         .error_for_status()
@@ -143,6 +152,7 @@ impl AsyncHttpRangeReader {
         client: impl Into<reqwest_middleware::ClientWithMiddleware>,
         url: reqwest::Url,
         check_method: CheckSupportMethod,
+        range_request_url_source: RangeRequestUrlSource,
         extra_headers: HeaderMap,
     ) -> Result<(Self, HeaderMap), AsyncHttpRangeReaderError> {
         let client = client.into();
@@ -156,7 +166,11 @@ impl AsyncHttpRangeReader {
                 )
                 .await?;
                 let response_headers = response.headers().clone();
-                let self_ = Self::from_tail_response(client, response, extra_headers).await?;
+                let url = match range_request_url_source {
+                    RangeRequestUrlSource::Request => url,
+                    RangeRequestUrlSource::Response => response.url().clone(),
+                };
+                let self_ = Self::from_tail_response(client, response, url, extra_headers).await?;
                 Ok((self_, response_headers))
             }
             CheckSupportMethod::Head => {
@@ -164,7 +178,11 @@ impl AsyncHttpRangeReader {
                     Self::initial_head_request(client.clone(), url.clone(), HeaderMap::default())
                         .await?;
                 let response_headers = response.headers().clone();
-                let self_ = Self::from_head_response(client, response, extra_headers).await?;
+                let url = match range_request_url_source {
+                    RangeRequestUrlSource::Request => url,
+                    RangeRequestUrlSource::Response => response.url().clone(),
+                };
+                let self_ = Self::from_head_response(client, response, url, extra_headers).await?;
                 Ok((self_, response_headers))
             }
         }
@@ -200,6 +218,7 @@ impl AsyncHttpRangeReader {
     pub async fn from_tail_response(
         client: impl Into<reqwest_middleware::ClientWithMiddleware>,
         tail_request_response: Response,
+        url: Url,
         extra_headers: HeaderMap,
     ) -> Result<Self, AsyncHttpRangeReaderError> {
         let client = client.into();
@@ -245,7 +264,7 @@ impl AsyncHttpRangeReader {
         let (state_tx, state_rx) = watch::channel(StreamerState::default());
         tokio::spawn(run_streamer(
             client,
-            tail_request_response.url().clone(),
+            url,
             extra_headers,
             Some((tail_request_response, start)),
             memory_map,
@@ -300,6 +319,7 @@ impl AsyncHttpRangeReader {
     pub async fn from_head_response(
         client: impl Into<reqwest_middleware::ClientWithMiddleware>,
         head_response: Response,
+        url: Url,
         extra_headers: HeaderMap,
     ) -> Result<Self, AsyncHttpRangeReaderError> {
         let client = client.into();
@@ -345,7 +365,7 @@ impl AsyncHttpRangeReader {
         let (state_tx, state_rx) = watch::channel(StreamerState::default());
         tokio::spawn(run_streamer(
             client,
-            head_response.url().clone(),
+            url,
             extra_headers,
             None,
             memory_map,
@@ -688,6 +708,7 @@ mod test {
             Client::new(),
             server.url().join("andes-1.8.3-pyhd8ed1ab_0.conda").unwrap(),
             check_method,
+            RangeRequestUrlSource::Response,
             HeaderMap::default(),
         )
         .await
@@ -783,6 +804,57 @@ mod test {
             Client::new(),
             server.url().join("andes-1.8.3-pyhd8ed1ab_0.conda").unwrap(),
             check_method,
+            RangeRequestUrlSource::Response,
+            HeaderMap::default(),
+        )
+        .await
+        .expect("bla");
+
+        // Also open a simple file reader
+        let mut file = tokio::fs::File::open(path.join("andes-1.8.3-pyhd8ed1ab_0.conda"))
+            .await
+            .unwrap();
+
+        // Read until the end and make sure that the contents matches
+        let mut range_read = vec![0; 64 * 1024];
+        let mut file_read = vec![0; 64 * 1024];
+        loop {
+            // Read with the async reader
+            let range_read_bytes = range.read(&mut range_read).await.unwrap();
+
+            // Read directly from the file
+            let file_read_bytes = file
+                .read_exact(&mut file_read[0..range_read_bytes])
+                .await
+                .unwrap();
+
+            assert_eq!(range_read_bytes, file_read_bytes);
+            assert_eq!(
+                range_read[0..range_read_bytes],
+                file_read[0..file_read_bytes]
+            );
+
+            if file_read_bytes == 0 && range_read_bytes == 0 {
+                break;
+            }
+        }
+    }
+
+    #[rstest]
+    #[case(RangeRequestUrlSource::Request)]
+    #[case(RangeRequestUrlSource::Response)]
+    #[tokio::test]
+    async fn async_range_reader_url_source(#[case] url_source: RangeRequestUrlSource) {
+        // Spawn a static file server
+        let path = Path::new(&std::env::var("CARGO_MANIFEST_DIR").unwrap()).join("test-data");
+        let server = StaticDirectoryServer::new(&path);
+
+        // Construct an AsyncRangeReader
+        let (mut range, _) = AsyncHttpRangeReader::new(
+            Client::new(),
+            server.url().join("andes-1.8.3-pyhd8ed1ab_0.conda").unwrap(),
+            CheckSupportMethod::Head,
+            url_source,
             HeaderMap::default(),
         )
         .await
@@ -825,6 +897,7 @@ mod test {
             Client::new(),
             server.url().join("not-found").unwrap(),
             CheckSupportMethod::Head,
+            RangeRequestUrlSource::Response,
             HeaderMap::default(),
         )
         .await