In USMM "La difesa del traffico con l'Africa settentrionale" Vol.I (1958), I find MV ANDREA GRITTI going from Naples to Tripoli in convoy with MV VETTOR PISANI and tug SALVATORE I (from Trapani), escort TBs CANTORE (to Trapani) and then SAGITTARIO (to Tripoli) on 29-30 August. On 4-6 Sept. GRITTI got from Tripoli to Benghazi with DD BOREA. Then on Sept. 14-15 she got back to Tripoli with TB PEGASO, and from there to Naples (same escort) on Sept. 21-22.
No mention of CRISPI during those same months.