Norwich took the lead on 21 minutes when Tom Adeyemi hit a right-footed shot past reds' stopper Tom Heaton.
United had several good openings after the break but failed to make them count until there were just five minutes on the clock, when Belgian defender Richie De Laet slotted home for the equaliser.
They won the other two of their pre-season games, against AFC Fylde and Rochdale respectively, and now face Luton Town on Tuesday and Altrincham seven days later on in their final warm-up matches.Norwich: Ben Alnwick, Jon Otsemobor, Simon Lappin, Gary Doherty (caption), Jens Askou, Owain Tudor Jones, Paul McVeigh, Tom Adeyemi, Chris Martin, Jamie Cureton, Wesley Hoolahan.
Subs: Adam Drury (on 46 for Hoolahan), Michael Nelson (on 46 for Doherty), Matthew Gill (on 46 for Tudor Jones), Simon Whaley (on 46 for McVeigh), Michael Spillane, (on 81 for for Adeyemi) Grant Holt (on 81, for Cureton) and Kriss Bright (on 69 for Martin).
Not used: Lee Barrett and Stephens
United XI: Tom Heaton, David Gray, De Laet, James Chester, Craig Cathcart, Corry Evans (captain), Magnus Eikrem, Sam Hewson, Cameron Stewart, Cleverley and Danny Simpson
Subs: Joe Dudgeon (on 76 for Stewart), Oliver Gill (on 46 for Chester) and Oliver Norwood (on 46 for Hewson).
Not used: Nicholas Ajose, Ron-Robert Zieler and Scott Moffatt.