Craig Gordon has attracted interest from Chelsea
Gordon kept his seventh clean sheet in eight matches in last night's 1-0 win over Aberdeen as Celtic went 25 points clear in the Premiership title race.
Celtic have a year's option on the 34-year-old keeper when his contract expires this summer but a longer and better deal is in the offing.
Chelsea wanted the Scot as a potential replacement for back-up goalkeeper Asmir Begovic, who was linked with a move to Bournemouth.
Brendan Rodgers desperate to tie Craig Gordon down to new deal
"It was difficult for Craig because I don't think he is built for the stress," Rodgers said.
"He is a big guy who is calm and laid back and it probably got on his nerves.
"But I have reassured him that he is an absolutely massive part of what I'm doing here.
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"You see the level of his game, his composure, his quality, everything.
"And I'm very hopeful that soon we will tie him down for longer here because he is a huge player in relation to how I want my team to operate.
"That will be our best signing once that gets done."