Alexander Zverev expects to be back from injury to play for Germany in the Davis Cup in September but said on Thursday there was a real chance of returning earlier at the US Open.

The 25-year-old world number two has had surgery after damaging ligaments in his right ankle during this year's French Open semi-final against Rafael Nadal but hopes he might be ready for this year's final Grand Slam.

"Of course, I will still try to make the US Open, although it will be very, very close," Zverev told reporters at a news conference ahead of the major which starts on Aug 29.

"Every day it really gets better. That's why I don't want to say that I'm not playing the US Open yet."

Germany face France, Belgium and Australia in Group C of the Davis Cup in Zverev's home city of Hamburg from Sept 13-18.

If they progress from the group phase they will play in the knockout stage of the finals in Malaga in November.