The England striker has been linked with a move away from White Hart Lane this summer, with local foes the Gunners reported as one possible destination.
But Redknapp does not believe the diminutive frontman would make the short journey across North London to Emirates Stadium.
"I didn't see that," Redknapp said of such speculation. "I couldn't see that one happening."
Defoe missed a chunk of last season after suffering an ankle injury on international duty with England against Switzerland in September.
The former West Ham and Portsmouth player still managed to bag 12 goals in all competitions but was unable to help Spurs secure a second season of Champions League football.
Source: Team Talk
Source: Team Talk