The Cherries are not mathematically certain to survive their maiden season in the top flight, but look to be in a strong position having surpassed the 40-point mark, a tally widely regarded as enough to stay in the division.
Nevertheless, the South African-born midfielder insists they cannot afford to get complacent, with Everton, West Bromwich Albion and Manchester United still to come before the end of the season.
Surman says it is still important for Eddie Howe's men to finish strongly, adding that performances over the next few weeks could have an impact on how the team performs next term.
He told the Daily Echo: "The main thing is to take a bit of momentum into next season. We feel we've done enough to be safe but don't want the season to fizzle out.
"We don't want to be going into next season with a hangover from the last few games of this season, because we haven't played well or picked up many points.
"We want to finish strongly and carry that on.
"We have some tough games left but everyone is pulling in the same direction to try and finish the season off as well as we can."
Despite bringing themselves to the brink of safety, the 29-year-old admits Bournemouth still have a lot to learn in order to further establish themselves in the Premier League.
However, the former Norwich ace stressed the team still deserves credit for the progress already made.
He added: "You have got to learn quickly in this league and we have shown we have learned quickly.
"We've come away with pretty bad results at times and then put a run together.
"Although we are learning quickly, we still have a lot to learn. If you are carved open after a bit of brilliance, sometimes you can hold your hands up.
"But you can't give chances to players in the Premier League because they will punish you."