The 30-year-old is currently a free agent after terminating his contract with Valencia over the summer, and is on the hunt for a new club as he bids to stay in European football.
Spurs have been linked with the versatile attacker, but Benfica were thought to be leading the way after entering negotiations with him.
But Jonas has turned down the Lisbon giants, with their salary offer having been deemed too low.
This has put the Londoners in the box seat, with his £25,000-per-week demands affordable for the Lilywhites.
Mauricio Pochettino is keen on a short-term deal for Jonas as he plots to boost his striking options in a bid to cope with European and domestic football at White Hart Lane.
Even though the transfer window closed some time ago, Tottenham are able to tie up a deal for the South American at any stage due to his free agent status.
Jonas played alongside Roberto Soldado at Valencia before the Spaniard joined Spurs last summer.