The 22-year-old Israeli international is in line to benefit from the changes Neil Lennon plans to make to his side following the Scottish Cup defeat to Aberdeen last weekend.
And he revealed he is desperate to hit the target in a competitive game before his debut season is completed.
Biton said: "It is my dream to score like this, and I can promise I will score."
The player again failed to get beyond the subs' bench last weekend against Aberdeen as new Bhoy Stefan Johansen stepped in for the injured Charlie Mulgrew.
Biton has spent the six months since he arrived from FC Ashdod trying to break into the Hoops first team.
But a few niggly injuries and a suspension after being sent off in the Champions League clash with Ajax at Parkhead have held back his progress.
In fact, Biton has started only seven games - but now feels he is ready to make his push.
He has already shown his potential when he sent a shot from half way just inches over the crossbar during the Antalya Cup tie against Galatasaray last month.
He has made 11 SPFL appearances this season, and will qualify for a champions medal when the race is officially declared over.
That will be his first trophy in senior football.
But while Neil Lennon is prepared to give Biton time to make the adjustment from Israeli football to life as a Celt, the player is desperate to make a positive impact.
Biton accepts it is a quantum leap from where he was to where he wants to be, and he told Celtic TV: "I have moved to one of the biggest clubs in Europe from what was not the biggest club in Israel, so it is a little bit different for me.
"The biggest difference is the tempo. The Israeli Premier League maybe has more technique.
"In Scotland, when you get the ball, you are immediately pressed by two or three players. In Israel, you had more space to dribble.
"I have tried to settle into this kind of football, and the coaches and my team-mates tell me to think fast, and to try to take just one or two touches.
"The manager has helped me a lot. He speaks to me and gives me advice about what to do and what not to do.
"Scott Brown also gives me advice all of the time,
"I try to learn from him and from Charlie Mulgrew, Georgios Samaras and all the experienced players."