diff --git a/examples/challenge_response.rs b/examples/challenge_response.rs
index c893a2f..c910a3f 100644
--- a/examples/challenge_response.rs
+++ b/examples/challenge_response.rs
@@ -20,10 +20,8 @@ fn my_evidence_builder(nonce: &[u8], accept: &[String]) -> Result<(Vec<u8>, Stri
 fn main() {
     let base_url = "https://localhost:8080";
 
-    let discovery_api_endpoint = format!("{}{}", base_url, "/.well-known/veraison/verification");
-
     let discovery = DiscoveryBuilder::new()
-        .with_url(discovery_api_endpoint)
+        .with_base_url(base_url.into())
         .with_root_certificate("veraison-root.crt".into())
         .build()
         .expect("Failed to start API discovery with the service");
diff --git a/src/lib.rs b/src/lib.rs
index af02b1d..92de9db 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -376,10 +376,15 @@ impl DiscoveryBuilder {
         }
     }
 
-    /// Use this method to supply the URL of the discovery endpoint, e.g.:
-    /// "https://veraison.example/.well-known/veraison/verification"
-    pub fn with_url(mut self, v: String) -> DiscoveryBuilder {
-        self.url = Some(v);
+    /// Use this method to supply the base URL of the discovery endpoint, e.g.
+    /// "https://veraison.example" in the full
+    /// "https://veraison.example/.well-known/veraison/verification".
+    /// This hides / encapsulate the details of what the actual URL looks like.
+    pub fn with_base_url(mut self, base_url: String) -> DiscoveryBuilder {
+        self.url = Some(format!(
+            "{}{}",
+            base_url, "/.well-known/veraison/verification"
+        ));
         self
     }
 
@@ -710,14 +715,8 @@ mod tests {
             .mount(&mock_server)
             .await;
 
-        let discovery_api_endpoint = format!(
-            "{}{}",
-            mock_server.uri(),
-            "/.well-known/veraison/verification"
-        );
-
         let discovery = DiscoveryBuilder::new()
-            .with_url(discovery_api_endpoint)
+            .with_base_url(mock_server.uri())
             .build()
             .expect("Failed to create Discovery client.");