He was angered by the release of striker Marko Pantelic and winger Dennis Rommedahl and there were also suggestions that Dutch international goalkeeper Maarten Stekelenburg could leave the Amsterdam Arena.
"We need to strengthen the squad - everyone knows this - but there's no money," said Jol after Ajax's friendly against Rijnsburgse Boys on Tuesday.
"We have lost some good players and no-one is coming in. I fear for the future of Ajax in this position.
"Ajax know about the offer from Fulham. In the past I have had other offers that no-one knows about. Now in England it is public, but that's not my fault."
When Jol quit Hamburg for Ajax in 2009 he made it his main mission to win the Eredivisie title for the first time since 2004 and brought in a number of his own staff, so he is thought to feel a responsibility to the four-time European champions.
Fulham have been managerless since Roy Hodgson left for Liverpool
Fulham owner Mohamed Al Fayed is reported to have offered Jol, who was sacked by Spurs in 2007 and still owns a house near London, a rolling contract, a bonus-related salary and a significant transfer budget to succeed Hodgson.
Ivory Coast coach Sven-Goran Eriksson had also been linked with the vacancy at Craven Cottage.
United States coach Bob Bradley and Switzerland's Ottmar Hitzfeld were other names in the running.
Eriksson is thought to have held talks with Fulham but the Swede revealed last week that he was considering a lucrative offer to stay on as Ivory Coast head coach.
Hitzfeld then ruled himself out of contention and a statement from the United States Soccer Federation outlined its intention to extend Bradley's contract.
Although Fulham reached the Europa League final in May, Ajax will be playing Champions League football in September providing they come through qualifying.
They were pipped to the Dutch league title last season by FC Twente, who were managed by former England boss Steve McClaren.
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