Warburton's side kicked off the 2016-17 campaign with a 2-0 win away to Motherwell on Saturday as a number of the Gers' eight summer signings made their competitive debuts.
The 33-year-old, who joined on a Bosman after helping Burnley to Premier League promotion last season, only joined up with his new Rangers team-mates for training last week, having missed the 10-day trip to South Carolina earlier in July.
However, Warburton expects the former Manchester City and Newcastle United midfielder to play a role in next week's visit of Annan in a revelation which is sure to please fans.
"We'll make six or seven changes on Tuesday," he told Rangers' official YouTube channel. "Joey will figure in some capacity I hope, if all goes well training-wise."
Barton is arguably the biggest of Rangers' eight summer signings as far as profile in English football goes. They also brought in Niko Kranjcar - who has over 80 caps for Croatia - but Barton is the household name which could be key to their aspirations this season.