Rivaldo insists the lure of the “temple” of Glasgow football and the Champions League has convinced him to look towards Celtic as his next career destination.
The 32-year-old has previously stated Bolton were his “priority” although he was flattered by the Parkhead link.
But the deal with Sam Allardyce appears to have fallen through after the Wanderers boss became frustrated by a lack of movement.
However, Rivaldo has now urged Hoops’ boss Martin O’Neill to make his move.
The Brazilian told Sky Sports: “Scotland is a paradise for forwards and to play for Celtic would be sensational for a Brazilian.
“Glasgow is a temple of football. It would be very nice to play there.
“The Scottish supporters are magnificent. For them a player is sacred and they defend him to the maximum. They are an example for other countries.
“To play in the Champions League is very important to me and that will be a favourable point.
“Playing in England has always been attractive for me, but not whatever the cost.
“I am not auctioning myself to the highest bidder. At my age, although I am in good physical condition, I cannot make another error like I did in Italy – I want to enjoy football.
“Sincerely, I would choose a great Scottish club before a smaller English club because I aspire to win trophies and not only spend the time to gain a little more money.”