diff --git a/pygmt/datatypes/header.py b/pygmt/datatypes/header.py
index 04e10ac0c72..d7806e50a24 100644
--- a/pygmt/datatypes/header.py
+++ b/pygmt/datatypes/header.py
@@ -6,6 +6,7 @@
 from typing import Any, ClassVar
 
 import numpy as np
+from pygmt.enums import GridFormat
 
 # Constants for lengths of grid header variables.
 #
@@ -203,7 +204,14 @@ def data_attrs(self) -> dict[str, Any]:
         Attributes for the data variable from the grid header.
         """
         attrs: dict[str, Any] = {}
-        attrs["Conventions"] = "CF-1.7"
+        if self.type in {
+            GridFormat.NB,
+            GridFormat.NS,
+            GridFormat.NI,
+            GridFormat.NF,
+            GridFormat.ND,
+        }:  # Only set the 'Conventions' attribute for netCDF.
+            attrs["Conventions"] = "CF-1.7"
         attrs["title"] = self.title.decode()
         attrs["history"] = self.command.decode()
         attrs["description"] = self.remark.decode()