Roofe joined Championship club Leeds from Oxford United in the summer transfer window.
The attacker was a key player for Oxford during the 2015-16 campaign, scoring 18 goals in 40 league matches to help them get promoted to League One.
Bogle, who is also 23 years of age, is starring for Grimsby at the moment.
The former Solihull Moors striker has scored 16 goals so far this season, according to The Grimsby Telegraph.
Grimsby are ninth in the League Two table at the moment with 26 points from 19 matches.
Peterborough chairman MacAnthony has stated that Roofe is far superior to Bogle.
@DMAC102 Leeds valued kemar Roofe at £2.5 mill. Would Omar not be worth over half that ? Or is like you say more work to his game first ?— Si (@Si_Johno) November 27, 2016
Sorry Buddy but Roofe far superior a player technically regardless of goals stats in comparison. But lots to work on with this lad for sure https://t.co/903lpU7iWz— Darragh MacAnthony (@DMAC102) November 27, 2016
Roofe has scored one goal and created 12 chances in 16 Championship appearances for playoff contenders Leeds so far this season.
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