Maybe it's just as well that he keeps it. Michele would probably design an ugly one
I found this on a blog about White House decoy which seems to suggest that regarding the rug it was I believed that each President designs their own.
“As for the rugs - they are replacing worn rugs and are not the official Oval Office rug, which each president designs; Bushs was done in 2001. Obama will use Bushs rug until he has his own at which time the rug will be shipped off to Bush for use at his presidential museum, as is customary of all Presidents.”
Some of the comments on this blog are very 0 based but in between there are reasonable comments especially regarding Laura’s design taste.
I think it is the President who is responsible for the rug design but most I suspect delegate it to their wives.