Scotland captain Andy Robertson says the ankle ligament damage he sustained in Liverpool's friendly with Athletic Bilbao is "nothing too major".
The left-back had to be helped off the pitch during Sunday's 1-1 draw and will miss the start of the domestic season.
Scotland have three World Cup qualifying matches next month.
"I will be grafting every day so I can help the team again sooner rather than later," Robertson, 27, said of Liverpool on Twitter.
Reds manager Jurgen Klopp commented on Sunday: "It was pretty painful and that is why Andy went off. He got the ball on the front of his foot, twisted his ankle."
Scotland lie second in European qualifying Group F, four points behind Denmark ahead of their trip to face the group leaders on Wednesday 1 September.
In what could be a campaign defining series of games, Steve Clarke's side host Moldova three days' later before visiting Austria the following Tuesday.
Prior to that, Liverpool begin their Premier League campaign away to Norwich on Saturday evening.
- Instatraders: Is foreign exchange trading as easy as social media claims it to be?
- Up Close with Billie Eilish: In an exclusive interview the music sensation opens up about the pressure of superfame