Van Ginkel went down injured following an early challenge by Swindon's Alex Pritchard. Despite trying to play on, van Ginkel then went off in the 10th minute at League One Swindon's County Ground.
Van Ginkel was replaced by Ramires, who in the 35th minute added to Fernando Torres's opening goal. But Ramires too also failed to complete the match, going off at half-time.
The Portuguese manager has much riding on the Rooney bid with Chelsea looking at no other players after the signings of Germany forward Andre Schurrle, 22, Holland midfielder Marco van Ginkel, 20, and veteran Australia goalkeeper Mark Schwarzer, 40.
Ginkel had been linked with Chelsea for long and there were reports that he had also met Jose Mourinho. Mourinho apparently sees him as a long term replacement of the Blues legend, Frank Lampard.