Just one place separates the sides ahead of this derby showdown, but Fulham boast a four-point advantage on their near neighbours.
It is third-placed Fulham who are better placed to gatecrash the top two as we enter the final stretch of the Championship campaign.
However, Fulham have won just one of their last 18 home games against Brentford in all competitions - a 1-0 victory back in April 1990.
Brentford were also victorious in the reverse fixture three months ago - Bryan Mbeumo scoring the only goal at Griffin Park - and are looking to complete a league double over Fulham for the first time since 2014-15.
The Bees now face Fulham and West Bromwich Albion, the two sides directly above them, in what will be a crucial and potentially defining week in their campaign.
Not only can Brentford strengthen their promotion dream with victory at Craven Cottage on Friday, they can also strike a possibly fatal blow to Fulham's own hopes of a top-two finish.
Fulham's Championship form: DLDWWD
Brentford's Championship form: DDDLDW
Josh Onomah has missed the past month with a knee injury and is still another fortnight away from making a full recovery.
The Championship's leading goalscorer Aleksandar Mitrovic has won more points with his goals than any other player in the competition in 2019-20.
Mitrovic will be the first name on the teamsheet and Parker may well opt for the same XI that started against Bristol City last week.
That may also be the case for the visitors following their impressive display against Wednesday last time out.
Fulham possible starting lineup:
Rodak; Christie, Hector, Ream, Odoi; Arter, Cairney; Kamara, Reid, Cavaleiro; Mitrovic
Brentford possible starting lineup:
Martin; Dalsgaard, Pinnock, Jeanvier, Henry; Marcondes, Norgaard, Dasilva; Mbeumo, Watkins, Benrahma
We say: Fulham 1-1 Brentford
Brentford looked impressive in brushing aside Sheffield Wednesday last weekend, but they have won just two of their last 10 away games in the Championship, drawing four of those. Fulham have also won just two of their last six matches, so we are predicting this one to finish all square.