Hoffenheim host Augsburg this afternoon aware that the 22-year-old remains in a critical condition after suffering serious head injuries in the crash.
However, Vukcevic's parents, who are keeping a bedside vigil, say Boris would want them to fight for him.
"This is the most difficult situation the team has ever been in," the club's general manager Andreas Muller said at a press conference on Saturday.
"We would have been able to call the game off, but the team decided unanimously to play.
"We want our positive energy to be transmitted to the lad. We want to fight for Boris because he is also a fighter."
Their decision to take to the field at the Rhein-Neckar Arena this afternoon was taken after receiving a message from the player's parents.
"After receiving that, the team and the club decided to play," Muller added.
Vukcevic is in an induced coma after undergoing emergency surgery on Friday afternoon.
The former Germany Under-21 international's car collided head on with a lorry on a main road near the club's training ground and he had to be cut free by firefighters before being airlifted to hospital.
The driver of the lorry also needed hospital treatment for minor injuries.