Bramble, 31, was released by Sunderland at the end of the 2012/13 campaign and is currently looking for a new club.
A return to Ipswich is not so unlikely as some suggest.
No Premier League club has shown an interest, and he will want to be fixed up before the season starts.
Bramble came through the Town academy, which he now sponsors, before making his senior debut in the 1998/99 season.
The Ipswich-born defender was sold to Newcastle United, then managed by Sir Bobby Robson, for £4.5 million in the summer of 2002.