Shaqiri has only featured once for the Reds so far this term when he came on during the second half of the FA Community Shield with Manchester City at Wembley.
The 27-year-old has been an unused substitute in the opening three Premier League matches of the campaign since, although Klopp insists minutes are on their way.
Speaking at a press conference to preview Saturday's trip to Burnley, the boss said: "Shaq is training well, that's the situation.
"It's the first four weeks of the season, that's how it is. That's probably the hardest period for players who are not [playing].