The 23-year-old midfielder has revealed he is doing extra work in front of goal on the training ground and hopes to build on his impressive form from last season.
Thompson arrived at the Den in January following a loan spell with Portsmouth and quickly came straight back into the team playing in a number ten role behind Lee Gregory.
His return to the side saw him score four times in a six-game period before a torn hamstring ruled him out for the closing weeks of the season.
Speaking to London News he said: “Finishing is massive. I want to score as many goals as I possibly can. I scored a few last season and have not got one yet. I’ve got to keep practising.
“When you get those chances you need to take them — that’s the Championship.
“I need to get in those positions and get the ball in the back of the net. Last season it happened for me. Once I get that first one it will give me a lot of confidence to go and get a lot more.”
Millwall currently sit 15th in the table and so far haven’t been a complete threat in-front of goal having only scored five in seven games while also conceding 9 at the other end.
But Thompson believes things will only start to get better for the Lions this season.
“If you are comparing to last season then it is a very positive start.
“The squad, training and standard of games has been that little bit better than last season.”
“We’ve got to keep building on it. There are new players in the team — we’re still gelling and getting partnerships on the pitch.”