The Red Devils were stunned at home by Villa, going down 1-0 after being poor throughout the contest at Old Trafford.
Speaking after the game, United legend Gary Neville claimed Solskjaer's side were not playing enough like a team to win the league title.
"I've not read that and not heard it but of course you're working on your style of play, you're working on patterns, your in-possession game, your out-of-possession game," Solskjaer responded ahead of Wednesday's Champions League group stage clash with Villarreal.
"The Aston Villa game, we broke up play really well defensively, maybe attacked too fast. We want fast attacking play. Gary [Neville] knows that and everyone that has been associated with Man United know we want to keep the tempo up and attack quickly when we can.
"Maybe we did it too fast because if you look at the stats, I don't think I've seen any games with less efficient playing time. Forty-five minutes effective playing time the ref gave us, probably one of the lowest I've seen. Normally you're up to 55 or 60 but that's maybe because we finished the attacks too quickly.
"Same with Villa, they did. [We need] more control. If you slow it down too much, it might be against a low block again defending. We know Villarreal will definitely defend well and be hard to play against. We need to play quickly. Gary knows the DNA here at the club and what we are trying to do."
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