diff --git a/docs/models.rst b/docs/models.rst
index 4136159d..6558b6fb 100644
--- a/docs/models.rst
+++ b/docs/models.rst
@@ -122,7 +122,7 @@ Cosmic Infrared Background
 Sunyaev–Zeldovich emission
 ==========================
 
-- **tsz1**: Thermal SZ emission from WebSky 0.4. Available at $N_{side}=4096$. For more details see :ref:`websky`.
+- **tsz1**: Thermal SZ emission from WebSky 0.4. Available at $N_{side}=8192$. For more details see :ref:`websky`.
 
 - **ksz1**: Kinetic SZ emission from WebSky 0.4. Available at $N_{side}=4096$. For more details see :ref:`websky`.
 
diff --git a/pysm3/models/websky.py b/pysm3/models/websky.py
index abf981d2..8833b33c 100644
--- a/pysm3/models/websky.py
+++ b/pysm3/models/websky.py
@@ -223,10 +223,15 @@ def __init__(
         nside,
         version="0.4",
         sz_type="kinetic",
-        max_nside=4096,
+        max_nside=None,
         map_dist=None,
     ):
 
+        if max_nside is None:
+            if sz_type=='kinetic':
+                max_nside = 4096
+            if sz_type=='thermal':
+                max_nside = 8192
         super().__init__(nside=nside, max_nside=max_nside, map_dist=map_dist)
         self.version = str(version)
         self.sz_type = sz_type