Despite a fractured campaign which has seen United knocked out of the Champions League at the group stage and suffer humiliating losses in the league like the 6-1 defeat versus Spurs, Man Utd find themselves second in the Premier League just two points off defending champions, Liverpool.
Following the somewhat fortunate last-minute win against Wolves on Tuesday, they have now won four out of their last five games.
As for whether their current form and position puts them in the title picture, Solskjaer played it cool with his comments.
"There's no title race after 15 games," he said
"You can lose the chance of being in a race in the first 10 games. But play another 15, get to 30, and then maybe we can start talking about a title race."
Solskjaer does think that his squad has the belief that they can beat anyone in the league home or away, though.
"But the belief is there," he continued.
"We go into every game thinking we can win against anyone anywhere. Away we've shown what we're capable of, we are improving at home as well and this result is massive for confidence and attitude."
Man Utd's next fixture takes place on New Year's Day when they take on high-flying Aston Villa at Old Trafford.