Bramble has been training with Ipswich following his release by Sunderland.
He is available as a free agent and has figured in two pre-season friendly outings for McCarthy's men.
The 31-year-old centre-half, who began his career at Portman Road, revealed in the week that he would be willing to consider a permanent return to Suffolk.
McCarthy, though, claims he has no intention of putting terms to the former Newcastle United and Wigan Athletic defender as he has already drafted Berra into his ranks - a man he has previously worked with at Wolves.
On Bramble's time at Ipswich, McCarthy told Sky Sports News: "He's great, but we've signed Christophe Berra so Titus won't be joining us.
"He's welcome to train and stay with us. He's added to the training. He's been good around the place, but he won't be signing because we've signed Christophe."