Baxter, who was brought off the bench for the final 13 minutes of the game, became the youngest player to represent the Blues in a competitive league game at 16 years and 191 days old.
Osman feels the experience the younger players are gaining now can only help the Blues in the future.
"In another five years down the line they'll have another five years experience and they'll be really cracking on by that point - and still only be 21," he added.
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