The Saints are currently 12th in the league table, three points off a spot in the top 10.
They welcome West Bromwich Albion to St Mary's this afternoon and will cut the gap on the eighth-placed Baggies to just three points with a victory.
"If we get one more point or three points we are almost safe but I think we should put more focus on higher targets," Sky Sports News quotes Yoshida as saying.
"Many players have signed new contracts like Rickie Lambert, Adam Lallana, Artur Boruc - and if we keep the same players and get new players in the summer we will have a big opportunity to get more points and have big ambitions."
Yoshida arrived on the South Coast from Dutch side VVV-Velo last summer.