Tottenham are hoping that there improved offer of £13.5million for Hugo Lloris will be enough to convince Lyon to sell the goalkeeper in the coming weeks.
Spurs have already had an initial offer of £12million turned down, but now goal.com is reporting that an improved offer has been made as they look to find a new number one.
New boss Andre Villas-Boas is determined to bring another keeper to the club as current number one Brad Friedel is now 41-years-old, while back-up Carlo Cudicini is just three years younger.
Lyon revealed earlier this month that they were prepared to allow the keeper to leave this summer, as long as their valuation was met.
"Lloris told me that he would like to leave if he has an opportunity to play for one of the five biggest European sides," said Lyon president Jean-Michel Aulas.
"If any of these teams make an offer meeting his market value, €20m, he will be allowed to leave. For now, though, I have not received any offers, neither from Arsenal nor from elsewhere."
Spurs could call on Huerelho Gomes but the Brazilian fell out of favour with Harry Redknapp and is not expected to be given a chance for Villas-Boas who would prefer Lloris.
The 25-year-old is the current France keeper and played in every game at Euro 2012 as they were knocked out at the quarter-final stage to eventual champions Spain.