Thomas Tuchel's fourth-placed side are no bigger than 10-13 to leave Elland Road with a victory.
Leeds can be backed at 39-10 to beat the Blues whilst even the draw is on offer at 31-10.
Seven of the first eight players in the first scorer market represent the Blues and Tammy Abraham had been marginal favourite at 22-5 to net first despite having been absent of late with an ankle injury.
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Blues Boss Tuchel has since ruled Abraham out so Giroud is effectively now favourite to open the scoring at 9-2, followed by Timo Werner at 5s and Christian Pulisic at 13-2.
Giroud netted Chelsea's first goal in December's 3-1 victory against Leeds at Stamford Bridge in which United actually took a fourth-minute lead through Patrick Bamford.
Bamford is this time 7-1 to score first, followed by Mason Mount at 17-2 and then Hakim Ziyech and Kai Havertz (both 9s).
United's Rodrigo is next in the betting at 11s along with young Whites duo Joe Gelhardt and Sam Greenwood who now take fairly high prominence in the first scorer market every week despite never playing - as yet.
Chelsea's Jorginho is actually joint top scorer with Abraham on six goals yet is 23-2 to net first first and only marginally shorter odds than both no goalscorer and Callum Hudson Odoi (both 12s).
United quartet Raphinha (27-2), Pablo Hernandez (15s), Tyler Roberts (15s) and Helder Costa (16s) are next, followed by Chelsea's Marcos Alonso at 16s.
Jack Harrison is then 17s, marginally ahead of Ian Poveda (18s) and then Chelsea's Ben Chilwell (20s), Billy Gilmour (20s), Kurt Zouma (23s) and Reece James (25s).
Stuart Dallas and Mateusz Klich are both 28s.
As is often the case, a 1-1 draw is actually favourite in the correct score market at 15-2 but thereafter the next three fancies are all Chelsea wins via a 2-1 scoreline (42-5), 1-0 triumph (42-5), and 2-0 victory (19-2).
Both a goalless draw and 3-0 win for the Blues are next at 29-2 each, after which both a 2-1 and 1-0 success for the Whites are both 16s.
United are seen as home and dry in their quest to stay up as the Whites are still as big as 250-1 to go down yet Chelsea are as short as 1-3 for a top-four finish and that is readily emphasised in the match market against Leeds.
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Thank you Laura Collins