diff --git a/garminconnect/client.py b/garminconnect/client.py
index f3e257e3..27882fdf 100644
--- a/garminconnect/client.py
+++ b/garminconnect/client.py
@@ -592,7 +592,8 @@ def resolve_mfa(name: str) -> tuple[str | None, Any]:
         if rate_limited_count == len(strategies):
             raise GarminConnectTooManyRequestsError(
                 "All login strategies rate limited (429). "
-                "Try again later or check your IP/network."
+                "Garmin may be blocking this client or network rather than "
+                "rate limiting; try again later or from another network."
             )
         raise GarminConnectConnectionError(
             "All login strategies exhausted: "
@@ -679,7 +680,8 @@ def _do_mobile_login(self, sess: Any, email: str, password: str) -> None:
 
         if r.status_code == 429:
             raise GarminConnectTooManyRequestsError(
-                "Mobile login returned 429 — IP rate limited by Garmin"
+                "Mobile login returned 429 — rate limited or blocked by Garmin "
+                "(can be triggered by the client fingerprint, not only the IP)"
             )
 
         if r.status_code == 403: