Van Hecke left the Netherlands camp after picking up a foot injury during the 2-1 win over Serbia. The defender had taken part in the first training session following the match before returning to London.
Reports suggest the injury is minor, leaving the 26-year-old in contention to face Manchester United at Old Trafford on Saturday.
Van de Ven also suffered an injury during the victory over Serbia after Luka Jovic accidentally stepped on his hand. The Tottenham defender was in obvious discomfort and had to be replaced.
However, Netherlands manager Xavi provided a positive update after the match.
"He's okay. He was a bit dizzy because he had the finger injury, but it's not a big injury," Xavi said.
The news will come as a relief to Tottenham, who are currently bottom of the Premier League and face another difficult test against Manchester United.
Both Van Hecke and Van de Ven could therefore be available for the trip to Old Trafford on Saturday, October 10.
Borussia Dortmund are facing a fitness concern ahead of Friday's Bundesliga meeting with Werder Bremen, with Julian Ryerson doubtful after suffering a rib injury on international duty.
Thomas Tuchel believes Alex Scott has given Declan Rice genuine competition for an England midfield place after an impressive first international start in the 7-0 win over Croatia.
Canada boss Jesse Marsch believes Manchester City should face severe punishment over their alleged financial breaches, saying the concerns were widely known in English football.
Portugal head coach Jorge Jesus has left the door open for Cristiano Ronaldo to return to the national team after admitting the veteran striker was originally expected to play in the 2-1 Nations League win over Norway.
