Vardy did not feature for England in their recent World Cup qualifiers, but Shakespeare said that he looked sharp in training this week.
"Vardy has fully recovered from his hip problem," Shakespeare told a news conference on Thursday. "He had injections and was given time away. There's no ill effects."
The 30-year-old has been Leicester's top scorer in the past two seasons and has already found the net five times in seven games despite Leicester's slow start to the campaign.
Leicester are just above the relegation zone with five points from seven games and last won against Brighton and Hove Albion in the second round of league fixtures in August.
"We want to be consistent, whether we're playing the top teams or the teams in and around us. We’ll focus on West Brom," the manager said.
Shakespeare said Wilfred Ndidi was fit after he appeared to injure his hamstring on international duty with Nigeria while Ben Chilwell is also in contention after missing England under 21 duty with a knock.
"There was a scare about Ndidi, but it was only cramp and he trained today fully. He's fine so there's no problems there."
West Brom are 10th in the league with nine points from seven league games.
(Reporting by Shrivathsa Sridhar in Bengaluru; Editing by Toby Davis)
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