The Dane impressed in the second-half of the 3-1 win on Sunday night.
Postecoglou said: "The match had a bit of everything. We got off to a good start, but then we kind of lost ourselves. But we dominated throughout the second half.
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"We needed some fresh legs as we had played three games in one week. Pierre and Rodrigo (Bentancur) were absolutely fantastic after they came in."
Hojbjerg has stated he may leave Spurs at the end of the season over a lack of minutes this season.