Are these tasks assigned to you as well?  If so, then yes you should be able to see them by creating a new filter on worklist.  To do so:

- click the  Configuration icon on the worklist webpart (the icon near the top right corner of the web part with the paper and wrench)

-  click 'Add' on the filters tab

-  provider a name of the filter (e.g. "Sleep"

- click 'Add'  then configure as follows:

       Field: Worklist Item Status

       Compare: Equals

       Value:  Sleep

- click ok to save everything.

 - back on the worklist view, now  you should have  another filter in the 'Selected Filter' drop down list.  go ahead and select the one you just created.

Keep in mind that you will only see tasks in this filter if you are a one of the destination users.

HTH.

OK, my question is...I've created a Sleep filter, and can view the sleeping item.  But how do I "wake it up" before it's scheduled end time?  If this can't be done via an existing K2 interface, can we use an API call to do this?

We use the following API calls to wake up our sleeping tasks:

SourceCode.Workflow.Client.WorklistItem worklistItem = GetWorklistItem(workflowServerConnectionString);
worklistItem.Open();
if (worklistItem.Status != SourceCode.Workflow.Client.WorklistStatus.Sleep) throw new Exception("Task is not currently suspended");
worklistItem.Sleep(false);

Thanks for the quick response Tim.  I knew there had to be a way.  You'll save us a lot of time.