Invalid column name

In the follow query I'm trying to use a date in the history table when a request is in 'Complete', 'Complete - Verbally Sign Off', 'Closed' but it does not work because Complete_Date is not a valid column.
How would I do this?

  SELECT

                h.rid AS ID

                , d.date AS Submitted_Date

                , d.requestor

                , d.analyst

                , d.qa

                , status, Status

                , h.Stat_Time

                , h.Stat_Date

                , CASE WHEN h.status IN ('Complete', 'Complete - Verbally Sign Off', 'Closed')

                      THEN stat_date

                      END AS Complete_Date

                , s.Service_Name

                , t.Task_Name

                , d.description

                , d.PMT_Tech AS PMT_Technology

                , d.[release_date] AS Release_Date     

                 , d.partner_group

                  ,d.sm

 FROM [aid1789].[dbo].[dmt_2] AS d

                INNER JOIN [aid1789].[dbo].[dmt_request_history] h  on (h.rid = d.id)

                INNER JOIN [aid1789].[dbo].[service] s on (d.serviceID = s.id )

                INNER JOIN [aid1789].[dbo].[task] t on (d.taskID = t.id )

Where status IN (@status)

and Complete_Date Between @Fromdate and @Todate