diff --git a/T/TurbulenceConvection/Compat.toml b/T/TurbulenceConvection/Compat.toml
index 556c1cd0e736ad5..2894f8490dd8036 100644
--- a/T/TurbulenceConvection/Compat.toml
+++ b/T/TurbulenceConvection/Compat.toml
@@ -28,8 +28,13 @@ julia = "1.5.0-1"
 ClimaCore = "0.2"
 
 ["0.2-0"]
-ClimaCore = "0.2-0.3"
 SurfaceFluxes = "0.1"
 
+["0.2-0.5"]
+ClimaCore = "0.2-0.3"
+
 ["0.4-0"]
 TerminalLoggers = "0.1"
+
+["0.6-0"]
+ClimaCore = "0.2-0.4"
diff --git a/T/TurbulenceConvection/Versions.toml b/T/TurbulenceConvection/Versions.toml
index cd478b797fc3df9..e2016ef82ac3b0a 100644
--- a/T/TurbulenceConvection/Versions.toml
+++ b/T/TurbulenceConvection/Versions.toml
@@ -12,3 +12,6 @@ git-tree-sha1 = "fd62a04474ff3a247eaa0df902ca6a15a3f812b9"
 
 ["0.5.0"]
 git-tree-sha1 = "2ce0b37bc1a8b7134c074946c7b4157516d5d32f"
+
+["0.6.0"]
+git-tree-sha1 = "18fa834aac7ac6c81d26368d606200b0621299cb"