After a wobble last month, victories over Tottenham and Chelsea have the Gunners sitting five points ahead of second-place Manchester City, having played one game more.
While Arsenal still need to go to City before the end of the season, Winterburn has confidence in the character of manager Mikel Arteta's team this season.
The former Gunners left-back told Tribalfootball.com: "I can’t see either team will go unbeaten, so I believe Arsenal will win the title, but it’s up to the players and manager now.
"I believe Man City will push Arsenal all the way this season, but I feel Arsenal have the squad depth to go so close this season and from early on, I believe Arsenal can win the title and I haven’t seen anything from other teams who can chase Arsenal down this season."
On the character of the players, Winterburn also said: "As a group they must show strong belief and as a unit they are playing well and can work as a group to navigate the games coming up.
"Yes Declan Rice is really critical to the team and also Gabriel in defence, but they squad is there now to remain in front and keep pushing ahead. I think the group take control now as a collective and this is a good trait to have that you can see on the pitch, they all want to achieve success."
Nigel Winterburn was speaking to Tribalfootball on behalf of Gambling.com where users find the best UK casino sites