The skipper will make 41 appearances in the season at tonight's Vertu Trophy semi-finals in Birmingham.
Alexander has been spinning options during the current run of matches of six consecutive matches. However, he is not planning on bringing his 34-year-old to life anytime soon.
“I don't think he needs rest,” the mayor said. “He is the type of player who thrives on being there all the time.
“That's why he trains that way, he's a bit of an old school animal and I like it.
“I think the team needs him. We have other good midfielders, but I don't think we have another Richie Smallwood.”
Smallwood appeared in all trophy ties, but he was off the bench with his final 32 wins at Stockport. He started all 15 games for City.
Alexander added: “I think our team needs to be consistent.
“Ritchie has proven that he can go to 40 games, 40 games, 45 games and 50 games each year, not just this season.
“I mean, when he puts him out there again, he's used to it, his body is used to it, his mind is used to it, he's our captain, I'm I want him to come on that pitch.”
Alexander has regularly made changes to the entire city's trophy run. The influx of recruits in January, with five people tied to the cup tonight, has switched further into the starting lineup.
However, the current form execution – one loss from Christmas – emphasizes confidence in the manager's team.
“From the beginning of the preseason, we said it was the team that would bring us success, because even if this team was at this stage, it was clearly going through two windows.
“Since January 1st, 21 different players have started the game and have taken some great wins along the way. I believe in the players in this group, but it can't be just a word .
“What I especially like and what I was talking about yesterday as a coaching staff member is that we really have a hard time beating and during this clean seat run, the back 3 keeps everyone healthy It changes semi-regularly.
“They still picked up the baton and did what they needed tactically to keep their team going.
“That's all the credits of players that aren't there. They're not all Richie Smallwood. He's there every week.
“Some players play some games and then drop out before anyone else gets in.
“Being able to maintain that level of performance, not playing every three days, is all testament to how to train yourself and mentally prepare yourself for the game.
“From now until the end of the season, all 21 players will continue to win again and if possible they will continue to win.”
