Daniel Ballard found the net as Millwall's pre-season friendly schedule continued against Fulham at Calmont Road on Tuesday afternoon.
The Arsenal loanee headed Scott Malone's corner-kick home at the back post with 26 minutes played on a boiling hot surface in Bromley to open the scoring.
Billy Mitchell, Anthony Knockaert and Scott Malone all had first-half efforts denied, before Fulham struck the crossbar from a free-kick shortly after the half-hour mark.
Bartosz Bialkowski was beaten at the beginning of a second 45 minutes which saw both sides struggle to make headway in the heat - but manager Gary Rowett will be encouraged by the return of Ryan Leonard, who made a comeback from injury to play a part.
Millwall: Bialkowski; McNamara (Romeo), Ballard (A. Mitchell), Hutchinson (Pearce), M. Wallace (Tiensia), Malone (Cooper); Evans (Leonard), Mitchell (O'Brien), Thompson; Smith (Mahoney), Afobe (Burey).