Former manager and captain Willie Miller believes Aberdeen are capable of pushing Celtic in the title race.
Sunday's 1-0 win at Inverness means the Dons end the year two points behind the defending champions.
The last of Aberdeen's four league triumphs came in season 1984-85, a third success for Miller as a player.
And the 59-year-old told BBC Scotland: "If they can keep this run going, steer clear of injuries then they are going to be title challengers."
Aberdeen's good form this term has been underpinned by a strong defence, with eight clean sheets in their last 10 matches.
And a fifth consecutive league victory has lifted them above Dundee United, while Celtic were held to a goalless draw at home to bottom side Ross County on Saturday.
"We're almost at the halfway stage and there are only two points in it," continued Miller, who managed the Pittodrie club from 1992-95.
"There is still a lot of football to played of course and I think it depends on what Celtic do.