The Spurs boss has refused to blame the official for awarding Frank Lampard a goal despite it not crossing the line and has called for the introduction of video technology
Frank Lampard's equaliser was awarded after it crept past Heurelho Gomes but failed to cross the line, increasing calls for video technology to assist officials.
Cairns, who was running the line for referee Andre Marriner, gave the goal despite being some distance from the ball and Redknapp has insisted that he would have no problem if he were to officiate in Spurs' next clash at home to Blackpool on Saturday.
He said: "I'd be more than happy if Mike's name is on the officials' list for that match. Sure, he made a mistake but how is he supposed to see what's going on from where he was positioned?
"He's done his best and it's one of those things. If he's working at our next match, great."
The Spurs manager did however question the logic of Fifa for not backing video technology, stating that football is falling behind other sports by refusing to be open to the idea.
He said: "It's almost as if football is the only major sport that doesn't want to embrace technology."