Martinez wants maximum points from the Swans' final four games
Manager Roberto Martinez says Swansea will handle the pressure of possible promotion at Gillingham on Saturday.
"The occasion won't get to the players," said Martinez, who knows a win would guarantee promotion.
"The dressing room has shown the personality to handle these sort of days and will keep performing.
"There'll be a capacity travelling crowd and huge support at the Liberty Stadium where the game is screened live - it shows the importance to the club."
The Spaniard, who has made a huge impression on Swansea in his first year in charge, insists that his table-topping team will maintain their standards until the end of the year as they battle with Carlisle for the title.
The top two met on Tuesday night, with Swansea coming away from Brunton Park with a 0-0 draw in a fiery encounter.
"The football we have played has been a pleasure to watch and a credit to us, we can't wait for the last four games," Martinez told BBC Sport Wales.
"On 3 May we want as many points as we can get, we'll keep performing.
"We won't think of promotion until it is achieved, but it has been 24 years since Swansea have been in the second tier of the football league.
"Gillingham are battling relegation and they'll be a fantastic test. A draw isn't really any good to either team on Saturday, so that should lead to a fantastic, open game."
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