It wasn't meant to be a tribute album, but with the sad passing of Burt Bacharach at age 94 recently, it seems like that is what this project will become.
Here's the info from Play MPE:
Elvis Costello
“You Can Have Her” ft. Burt Bacharach
From The Upcoming Album, The Songs of Bacharach & Costello
Releasing March 3 via UMe