The Pirates, who are one point adrift of safety in npower League One, face three mid-table sides in Charlton, Sheffield Wednesday and Colchester while their other fixture sees them take on play-off chasing Bournemouth.
Hinton says that none of the teams they face will be winding down or thinking about their summer break.
He told the Bristol Evening Post: "They can feel free not to turn up at all if they want! But as professionals they will want to go out and perform to the best of their ability week in, week out and win games.
"We need to win our games and every one now is massive. Charlton and Sheffield Wednesday are two huge clubs and will be wanting to finish on a high so they can take that confidence into the start of next season.
"Charlton are a quality side with quality players and Saturday's game is going to be tough. They lost 1-0 to Huddersfield last weekend, but apparently they played well."
Source: PA
Source: PA