The Frenchman's decision to train with the Gunners during the MLS off-season had fuelled talk of another temporary stint in north London, but his former boss dismissed the stories
Henry, now with New York Red Bulls, returned to the Gunners on loan in January during the MLS off-season, scoring two goals in seven appearances.
The 35-year-old's decision to train with his former club had led to talk of another possible loan stint in the New Year, but Wenger believes his squad already possesses sufficient attacking options.
"Those who scored today are [Theo] Walcott and [Olivier] Giroud, that proves we already have two good strikers at the club," the Gunners' boss told Canal+ following his side's 7-3 victory over Newcastle on Saturday.
"We will not take the risk of bringing him back for a third time.
"I think that it [the loan move for Henry] will not be done. Because he's just got back from vacation. He will need three to four weeks to get in shape. He had a long season too."
Henry established himself as an Arsenal legend during eight hugely successful years in north London between 1999 and 2007, and remains the club's all-time top scorer with 228 goals.