Jenkins left the Blues in June and signed a two-year deal with the French side, but has struggled to win a starting spot in a positional battle with former England prop Andrew Sheridan.
Reports circulated on Monday that Jenkins was looking for a return to Wales after becoming unsettled in France, with a return to the Blues his most likely destination.
However due to the new £3.5million salary cap now implemented on the Welsh regions, Cardiff Blues director of rugby Phil Davies has ruled out bringing Jenkins back to the Arms Park.
"There is always speculation but it's not practical because our salary cap is where it is," Davies told BBC Sport.
"We have spoken about Gethin but he is contracted to Toulon. We may not have somebody of Gethin's experience, but we have young players like Sam Hobbs and Tom Davies, who are 19 and 23 and they are outstanding young players, and they are the future of the Blues.
"We wish Gethin well, he is a fantastic player and did a great job for us, but now we have young players who want emulate his career."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
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The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.