Ipswich equalised on 71 minutes through 16-year-old debutant Dozzell, who was on as a substitute. The son of former Ipswich and Tottenham star Jason Dozzell headed in a Liam Feeney cross from close range.
McCarthy said: "Good genes produce good players and Andre (Dozzell) is a good player.
"I thought he deserved his opportunity. I always said that if we got to the end of the season and it looked like it had drifted away from us, I'd give him a chance."
