Kelly was one of nine first-team players selected for the Pontin's Holidays League Division One Central fixture at Valley Parade.
Jemal Johnson opened the scoring on 41 minutes with a good finish from a tight angle, but City, who had hit the frame of the goal in the third minute, forced a draw through Patrick Maguire's second-half strike.
Manuel Rui Marques completed his recovery from a hamstring strain with a 90-minute appearance and Hayden Foxe is also available for a first-team recall having overcome a head injury.
Youngster Ross Wilkinson, meanwhile, was missing from the reserve fixture following his call-up to the England U-18 squad.
The academy centre-back featured as a second-half substitute as England claimed a 4-1 victory over Holland during an international friendly at Yeovil.
Leeds: Stack, Kelly (Madden 70), Foxe, Marques, Elliott, Gardner, Bayly, Howson, Crainey, Johnson (Ameobi 73), Moore (Rothery 73).
Subs (Unused): Brown, Hotchkiss.