The seemingly never ending saga over the veteran midfielder's future is poised to end in a few days time.
It's understood that Swansea have offered a more lucrative two year deal in comparison to the year long contract proposed by Senna's current club Villarreal.
Whether that will be enough to tempt the Spanish international is yet to be seen, with his family likely to play a big part in the decision.
The Swans are keen to bolster their midfield ahead of the Premier League kick-off and would hope that Senna could provide the much needed experience required in the top flight.