The Hammers already have compatriots Tomas Soucek, Vladimir Coufal and Alex Kral at the club but could add another Czech ace in the January transfer window.
The Hammers are in the hunt for European football for a second consecutive season, having finished sixth in the Premier League table last-term.
They're in fine form in domestically and on the continent in the Europa League but need to sort out competition for star forward Michail Antonio.
The Jamaica international is the club's only recognised centre-forward currently and, having previously had injury issues, signing cover is vital.
According to Football Insider, West Ham are leading the race to lure Hlozek to the Premier League.
The teenage star has previously been linked with Liverpool and they continue to keep tabs on him.
Hlozek scored his first international goal in October and has now featured 12 times as one of his country's most exciting young prospects.
The Sparta Prague forward has scored 32 times and provided 29 assists in 106 games for the club in three and a half seasons in the first-team.
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