diff --git a/var/spack/repos/builtin/packages/py-globus-cli/package.py b/var/spack/repos/builtin/packages/py-globus-cli/package.py
index beb2dc0bdea66..c945eddabaaba 100644
--- a/var/spack/repos/builtin/packages/py-globus-cli/package.py
+++ b/var/spack/repos/builtin/packages/py-globus-cli/package.py
@@ -1,4 +1,4 @@
-# Copyright 2013-2023 Lawrence Livermore National Security, LLC and other
+# Copyright 2013-2024 Lawrence Livermore National Security, LLC and other
 # Spack Project Developers. See the top-level COPYRIGHT file for details.
 #
 # SPDX-License-Identifier: (Apache-2.0 OR MIT)
@@ -20,16 +20,9 @@ class PyGlobusCli(PythonPackage):
 
     version("3.16.0", sha256="0ef721060870d9346505e52b9bf30c7bed6ae136cc08762deb2f8893bd25d8c5")
 
-    depends_on("python@3.7:3.10", type=("build", "run"))
+    depends_on("python@3.7:", type=("build", "run"))
     depends_on("py-setuptools", type="build")
     depends_on("py-globus-sdk@3.25.0", type=("build", "run"))
     depends_on("py-click@8", type=("build", "run"))
     depends_on("py-jmespath@1.0.1", type=("build", "run"))
     depends_on("py-packaging@17:", type=("build", "run"))
-    # According to the developers, these requirements are implicit
-    # for py-globus-sdk, but they are listed explicitly "in case
-    # the underlying lib ever changes"
-    depends_on("py-requests@2.19.1:2", type=("build", "run"))
-    depends_on("py-pyjwt@2.0.0:2+crypto", type=("build", "run"))
-    depends_on("py-cryptography@3.3.1:", type=("build", "run"))
-    depends_on("py-typing-extensions@4:", type=("build", "run"))
diff --git a/var/spack/repos/builtin/packages/py-globus-sdk/package.py b/var/spack/repos/builtin/packages/py-globus-sdk/package.py
index 33458b22d81bb..dbc275e30a8ce 100644
--- a/var/spack/repos/builtin/packages/py-globus-sdk/package.py
+++ b/var/spack/repos/builtin/packages/py-globus-sdk/package.py
@@ -13,12 +13,29 @@ class PyGlobusSdk(PythonPackage):
     """
 
     homepage = "https://github.com/globus/globus-sdk-python"
-    pypi = "globus-sdk/globus-sdk-3.0.2.tar.gz"
+    pypi = "globus_sdk/globus_sdk-3.0.2.tar.gz"
 
     maintainers("hategan", "climbfuji")
 
-    license("Apache-2.0")
-
+    license("Apache-2.0", checked_by="wdconinc")
+
+    version("3.42.0", sha256="7f239acf26cd98c72568b07cc69d7e8d84511004881435c83129bf37c9495f43")
+    version("3.41.0", sha256="a097829e7516735675c1535bd17a8d9137636678bdbf50e95b3e7af8b32638ef")
+    version("3.40.0", sha256="6394f01c35b2b3275622f4f7c194eaf6750cb6c1e82cb2448dac2eb4ec394d75")
+    version("3.39.0", sha256="10af5291ba261e817665d5951948206232ecebccdc2aa8adc0528f0031ab80c3")
+    version("3.38.0", sha256="b83faacc103e3d3d3ac2ae33fd73a20a09d4d566cfa0cb03716b3fd8f51adcff")
+    version("3.37.0", sha256="87cd4cc191bca5912138c1f992589c735e13436208db10f2de5831efbebc83a7")
+    version("3.36.0", sha256="7693954a9ee3d69d09a0914c934ebcf4b4f47f016baa5c33612a03e367ee65a3")
+    version("3.35.0", sha256="9da40d5f251f98d89297c2a92abd9f24bfa3c041dfd0e957579884ef0c882cf2")
+    version("3.34.0", sha256="4db2ff439de9bd650bc2ba2d7c00614bd3dee34bd9b79da708951b8148236a36")
+    version("3.33.0", sha256="38b048590cf7bbd01c5ac82346401c3f42c3f105c81421d61bcb771aa788f481")
+    version("3.32.0", sha256="fe9df4ca2f2d16bbf40098df482e1713070946c70e2d6ec6a687c7086c1b559c")
+    version("3.31.0", sha256="5f077a8e532828a137a54f2858e63695af16d02577de058278da4ec873556cc1")
+    version("3.30.0", sha256="29d25f83d3b250d28a3a4bca8d046601a4bbb725330f409e6401295fa6bfb0ce")
+    version("3.29.0", sha256="a5f3c2da86ac6e7165841c9364ae80893f2ae667add5af5cd2237fc3fa14a1be")
+    version("3.28.0", sha256="249423dda76f162bb0d5515509135b68d6a779ad0cf2cd02a8204b2c7903e365")
+    version("3.27.0", sha256="1e9afac3bcce7dd69199c6e85372b0d6cadcc0906b27129d88db7e41dc32f195")
+    version("3.26.0", sha256="5a2bca267635c62e0f7c60fce10c47c7fd0fa8923c3363d44871c4abca8a68d1")
     version("3.25.0", sha256="d9be275d4ec18054db04732f75649c4227800c79b31fbcfb3f4f31eccfa5f4f7")
     version("3.10.1", sha256="c20fec55fc7e099f4d0c8224a36e194604577539445c5985cb465b23779baee8")
     version("3.10.0", sha256="7a7e7cd5cfbc40c6dc75bdb92b050c4191f992b5f7081cd08895bf119fd97bbf")
@@ -28,9 +45,18 @@ class PyGlobusSdk(PythonPackage):
     version("3.0.2", sha256="765b577b37edac70c513179607f1c09de7b287baa855165c9dd68de076d67f16")
 
     depends_on("python@3.6:", type=("build", "run"))
+    depends_on("python@3.7:", type=("build", "run"), when="@3.17:")
+    depends_on("python@3.8:", type=("build", "run"), when="@3.42:")
     depends_on("py-setuptools", type="build")
     depends_on("py-requests@2.19.1:2", type=("build", "run"))
     depends_on("py-pyjwt@2.0.0:2+crypto", type=("build", "run"))
     depends_on("py-cryptography@3.3.1:3.3,3.4.1:", when="@3.7:", type=("build", "run"))
     depends_on("py-cryptography@2:3.3,3.4.1:3.6", when="@:3.0", type=("build", "run"))
-    depends_on("py-typing-extensions@4:", when="@3.25:", type=("build", "run"))
+    depends_on("py-typing-extensions@4:", when="@3.25: ^python@:3.9", type=("build", "run"))
+    depends_on("py-importlib-resources@5.12.0:", when="@3.41: ^python@:3.8", type=("build", "run"))
+
+    def url_for_version(self, version):
+        if version <= Version("3.39"):
+            return super().url_for_version(version).replace("_", "-")
+        else:
+            return super().url_for_version(version)