diff --git a/pygmt/clib/session.py b/pygmt/clib/session.py
index 10c8770adaa..81afe6efb7c 100644
--- a/pygmt/clib/session.py
+++ b/pygmt/clib/session.py
@@ -88,12 +88,10 @@
     np.int16: "GMT_SHORT",
     np.int32: "GMT_INT",
     np.int64: "GMT_LONG",
-    np.longlong: "GMT_LONG",
     np.uint8: "GMT_UCHAR",
     np.uint16: "GMT_USHORT",
     np.uint32: "GMT_UINT",
     np.uint64: "GMT_ULONG",
-    np.ulonglong: "GMT_ULONG",
     np.float32: "GMT_FLOAT",
     np.float64: "GMT_DOUBLE",
     np.timedelta64: "GMT_LONG",
@@ -950,9 +948,8 @@ def put_vector(self, dataset: ctp.c_void_p, column: int, vector: np.ndarray):
         The dataset must be created by :meth:`pygmt.clib.Session.create_data` first with
         ``family="GMT_IS_DATASET|GMT_VIA_VECTOR"``.
 
-        Not all numpy dtypes are supported, only: int8, int16, int32, int64, longlong,
-        uint8, uint16, uint32, uint64, ulonglong, float32, float64, str\_, datetime64,
-        and timedelta64.
+        Not all numpy dtypes are supported, only: int8, int16, int32, int64, uint8,
+        uint16, uint32, uint64, float32, float64, str\_, and datetime64.
 
         .. warning::
             The numpy array must be C contiguous in memory. Use
@@ -1063,8 +1060,8 @@ def put_matrix(self, dataset: ctp.c_void_p, matrix: np.ndarray, pad: int = 0):
         The dataset must be created by :meth:`pygmt.clib.Session.create_data` first with
         ``family="GMT_IS_DATASET|GMT_VIA_MATRIX"``.
 
-        Not all numpy dtypes are supported, only: int8, int16, int32, int64, longlong,
-        uint8, uint16, uint32, uint64, ulonglong, float32, and float64.
+        Not all numpy dtypes are supported, only: int8, int16, int32, int64, uint8,
+        uint16, uint32, uint64, float32, and float64.
 
         .. warning::
             The numpy array must be C contiguous in memory. Use