The 27-year-old left-back and his teammates are going into their match against Aston Villa on Saturday (03.05.25), as part of the last four Premier League games of the season, with a focus and determination on bagging an eighth-place finish to earn Conference League football in the event of Manchester City beating Crystal Palace to win the FA Cup.
And if successful, it will see the west London-based team - who are in eighth in the Premier League - competing in Europe for the first time since 2011.
Robinson told TNT Sports: "Now the goal is European qualification, especially with Villa coming up, that's a big chance to close the gap on them.
"If we do manage to win that game, we'll be able to go within touching distance of them and keep the teams below us away from us.
"As it stands, eighth could mean European football, which would be incredible. I think we're one win off Fulham's record Premier League points total [53 in the 2008/09 season].
"A couple of seasons ago, we had a chance to beat but fell short by a point [52 in the 2022/23 season].
"So that's another little goal we can go to achieve, but I think we're just going into these last four games with no pressure.
"We want to play with as much intensity as we can, give the fans something they can enjoy watching, and enjoy grafting for three points."
The US international has graced the pitch in 33 of the club's 34 Premier League matches - but missed out on playing in the 2-1 win at Southampton last week due to injury.
However, the superstar cannot wait to continue showing what he is "capable of doing as a player" when Fulham take on Villa, who have European aspirations of their own.
When asked if this season has been his best yet, Robinson said: "Potentially. I think of this season and last season as both up there in terms of standards I've set and showing what I'm capable of doing as a player, so it's definitely up there for me."