The Spaniard, a summer signing from Celta Vigo, has been sidelined since mid-October with a thigh complaint.
Aspas admits to being frustrated by his input so far, or lack of it, but is confident that he can display the kind of form which saw Brendan Rodgers move for his services once he comes back into contention - which should be in time for the busy festive period.
The 26-year-old forward told the club's official website: "Not playing is frustrating, but I can take advantage of this stoppage and try to get back to playing as soon as possible.
"I think I can improve; I am happy with the team's level but not so much individually because I think I can do a lot better.
"First I want to recover from my injury and afterwards I can use my qualities better and exploit them better as a centre-forward.
"I have been injured for four weeks, but I have been training for four or five days on the pitch - running and exercising. I am a lot better.
"Soon I will be able to kick the ball. In 10 days to two weeks I will be ready to play."
Liverpool have collected seven points in Aspas' absence to cement a second-place standing in the Premier League, and he has been impressed by what he has seen from afar.
He added: "My impression is very good - you just have to look at the table to see how well the team is working. We are pressuring and playing well.
"This league is totally different from the Spanish league and there is greater equality between teams."