Sheffield Wednesday Under-23s match report: Owls 1 Millwall 0
The attack-minded defender nodded home Jack Stobbs' inch perfect cross in the 21st minute to settle a hard-fought encounter.
Watched on by first-team manager Jos Luhukay at their Middlewood Road training base, Wednesday, who lined up in a 3-4-3 formation, shaded the first half.
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Hide AdA venomous Jack Lee shot from outside the penalty area was superbly turned away by Ryan Sandford before West's opener.
Stobbs, a lively figure on the ring wing, saw a curling free-kick kept out by Sandford.
The closest the Lions came to restoring parity was a Rob Harvey effort which was well parried by Cameron McCulloch.
The visitors should have equalised three minutes after the restart when Kushal Campbell-Palmer latched on to Reuben Duncan's neat pass but the striker poked his shot wide when well-placed.
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Hide AdMoments later, Jordan Lonchar was denied by the reflexes of Sandford as the Owls briefly threatened a second.
There were a few clear-cut opportunities in a scrappy second period.
McCulloch was equal to a long range Campbell-Palmer strike while highly-rated Bulgarian striker Preslav Borukov, who was largely ineffective, stabbed an inviting Stobbs delivery over the top.
Wednesday: McCulloch; Brennan (Waloch 56), Williams (Dawodu 79), Rice; Hughes, Lee, Kirby, West; Stobbs, Lonchar, Borukov. Substitutes: Wallis, O'Brien, Ellery.