diff --git a/elasticapm/instrumentation/packages/grpc.py b/elasticapm/instrumentation/packages/grpc.py
index 4cce71e35..80e0d2083 100644
--- a/elasticapm/instrumentation/packages/grpc.py
+++ b/elasticapm/instrumentation/packages/grpc.py
@@ -54,7 +54,7 @@ def call(self, module, method, wrapped, instance, args, kwargs):
             except ValueError:
                 port = None
         else:
-            host, port = None, None
+            host, port = target, None 
         return grpc.intercept_channel(result, _ClientInterceptor(host, port, secure=method == "secure_channel"))