Tony Pulis' side are on an unbeaten run of 10 Premier League games and have not lost at the Britannia Stadium in the league since February 4.
Both those records looked set to come to an end when they trailed Southampton 3-1 at half-time on Saturday and were still a goal behind, and down to 10 men, heading into the 90th minute.
But substitute Cameron Jerome proved to be the hero with a stunning 30-yard volley that earned Stoke a point and kept them in eighth.
On Tuesday they make the short journey up the M6 to the Etihad Stadium to take on the reigning champions, who will hope to close the seven-point gap to leaders Manchester United.
Jones said: "We are doing well. We had a few slip-ups but credit to the team, the manager and the fans for the run we have been on.
"The next game is the most important game for us because we're going to the home of the champions.
"Here at Stoke City we play for 90 minutes. If we get beat, we get beat, but we'll never give up. That comes from pride.
"This is our job. No-one wants to lose so you're not just going to stand there and accept defeat."