Bramble comes off contract next week.
"Itâs never even crossed my mind,â former Sunderland boss McCarthy said. âTitus Bramble will have other clubs interested from him, in the Premier League, and I have not spoken to the player or his agent.
âBut I canât say no because that would be a complete lie.
âWhat if he came here and said âListen, I love living down here and this is where I come from, whatâs your budget, what can you offer me?â, and I said âÂ£500 a weekâ and he said âI love it here and Iâll come and playâ?
âI might consider it then under those circumstances. So, if I said no, Iâd be lying.â