The Reds boss dismissed reports speculating about a £40million bid from Manchester City - who have distanced themselves from the rumours - in January, insisting the subject was not even up for discussion and the striker not for sale.
Rodgers also expressed his confidence contract discussions with another of the club's prized assets, 17-year-old Raheem Sterling - who made his England debut in the friendly against Sweden on Wednesday night - would be resolved "without issue".
The teenager, who turns 18 next month, has 18 months remaining on his current deal and is also reportedly attracting interest from other clubs but the player last weekend dismissed claims any hold-up was down to a disagreement over wage demands.
However, Suarez, whom Rodgers claims is in "the form of his life", remains the one player Liverpool cannot afford to lose.
"He is a very important member of our team and I think you see he is really enjoying playing in this way of working and obviously his goals count for that.
"But he still has improvements to his game to make himself and we're looking on the training field to improve our performance to help us win games.
"We want to continue to build the group around him. We are in the very early stages of trying to form something at the club and Luis is an integral part of that.
"So for us it is not even a discussion point. I can respect that, because of his level, people will want to speculate but he's very happy and I'm very happy to work with him."
Of Suarez's 11 goals this season eight have come in 11 Barclays Premier League matches, making him joint top scorer with Manchester United's £24million summer signing Robin van Persie.
His league tally since joining Liverpool from Ajax for £22.75million in January 2011 is impressive with 24 in 55 matches.
Sterling is the other player at Anfield to have made an impact this season as his rapid rise continued with a first England senior appearance.
Rodgers does not envisage the teenager's newly-elevated status will prove to be a barrier in negotiations over a new contract.
"I think it will be pretty straightforward," he added.
"That will be resolved. There won't be an issue there.
"I think Raheem himself, his representatives and his family know he is at the best club he could ever be at in terms of his development short and long-term."
Sterling only made his first-team debut last March but has started Liverpool's last 10 league matches and has become an increasingly important figure in Rodgers' set-up.
However, even the manager admits the 17-year-old's ascent has taken him aback.
"I have been surprised to be honest. You just never know with young players," he said.
"I think the biggest thing you can do with kids is give them a chance - so long as they are showing on a daily basis they are worthy of that opportunity.
"That has been the case with Raheem since the day I walked in.
"He has improved and that is a great credit to him because he wants to improve and become a better player.
"Tactically he is doing better all the time and I think everyone connected with Liverpool could be proud of his (England) performance.
"To get exposed to that level of experience, playing alongside guys like (Zlatan) Ibrahimovic and seeing them at close-hand and how they operate can only make you a better player.
"He has earned that right to be there, he has been one of the top young players in the country this season; he is a real threat, he is dynamic but thankfully he has a lot to improve on.
"That will hopefully bode well for Liverpool first and foremost and internationally after that."