Wyss, 86, who based the medical device manufacturing organization Synthes, informed the Swiss newspaper Blick that he and 3 others had been sounded out on Tuesday.
But Wyss desires Abramovich to lower his asking charge for the English Premier League side.
Abramovich found out Saturday that he plans to location his ownership of the Blues into the "stewardship and care" of the Chelsea Foundation's trustees.
Abramovich has not been named on a developing British sanctions listing focused on Russian banks, groups and pro-Kremlin tycoons within the wake of Moscow's invasion of Ukraine.
But British Prime Minister Boris Johnson has been pressed on why Abramovich has not been stated, given his familiarity with Russian President Vladimir Putin.
"Abramovich is among Putin's closest advisers and pals," Wyss advised Blick.
"Like all the different oligarchs, he is panicked. Abramovich is presently trying to promote all his villas in England. He additionally wants to take away Chelsea speedy. Along with three different humans, I received an offer on Tuesday to buy Chelsea from Abramovich.
"I need to wait four or five days. Abramovich is asking an excessive amount of proper now. Chelsea owes him £2 billion ($2.7 billion, 2.4 billion euros). But Chelsea has no cash. This means that individuals who purchase Chelsea have to compensate Abramovich.
"We do no longer but recognise the exact sale rate. I can thoroughly consider myself joining Chelsea with partners. First I should appearance cautiously at the conditions.
"I absolutely would not do this type of issue by myself. If I buy Chelsea, it'll be with a consortium of six to seven buyers."
