The last BB I rebuilt I had to losen the oil filter to get the pump to prime. Workd fine once it took a prime. Easy enough to try, although it might make a little mess.
'64 Sport Fury, 528 Hemi, FiTech EFI, 4-speed, 4.10 Dana 60 '57 Belvedere 2dr sedan, current project in process '19 Cherokee Trail Hawk Elite '03 Ram 2500 CTD HO, 6-speed 214,000 miles and still going strong