diff --git a/jupyter-kernel-manager.el b/jupyter-kernel-manager.el
index 16adab5..c92b93d 100644
--- a/jupyter-kernel-manager.el
+++ b/jupyter-kernel-manager.el
@@ -104,9 +104,8 @@ implementation of `jupyter-kill-kernel'.
 A convenience method, `jupyter-kernel-name', is provided to
 access the name of the kernelspec.")
 
-(cl-defmethod jupyter-kill-kernel ((kernel jupyter-meta-kernel))
-  (when (slot-boundp kernel 'session)
-    (slot-makeunbound kernel 'session)))
+(cl-defmethod jupyter-kill-kernel ((_kernel jupyter-meta-kernel))
+  (ignore))
 
 (cl-defmethod jupyter-kernel-name ((kernel jupyter-meta-kernel))
   "Return the name of KERNEL."
diff --git a/test/jupyter-test.el b/test/jupyter-test.el
index 574a09e..5098872 100644
--- a/test/jupyter-test.el
+++ b/test/jupyter-test.el
@@ -623,8 +623,6 @@
     (should-error (jupyter-start-kernel kernel))
     (jupyter-kill-kernel kernel)
     (should-not (jupyter-kernel-alive-p kernel))
-    ;; A session should not be re-used across kernels
-    (should-not (slot-boundp kernel 'session))
     (setq conn-info (jupyter-create-connection-info))
     (ert-info ("`jupyter-kernel-manager'")
       ;; TODO: Should the manager create a session if one isn't present?
@@ -659,11 +657,9 @@
       (should-not (jupyter-kernel-alive-p kernel))
       (jupyter-start-kernel kernel)
       (should (jupyter-kernel-alive-p kernel))
-      (should (oref kernel session)))
-    (ert-info ("Session is invalid when kernel is no longer alive")
+      (should (oref kernel session))
       (jupyter-kill-kernel kernel)
-      (should-not (jupyter-kernel-alive-p kernel))
-      (should-not (slot-boundp kernel 'session)))
+      (should-not (jupyter-kernel-alive-p kernel)))
     (ert-info ("Can we communicate?")
       (let ((manager (jupyter-kernel-manager :kernel kernel)))
         (jupyter-start-kernel manager)