Fabbri (undisclosed) was placed on injured reserve Tuesday, per the NHL media site.
Fabbri and a conditional fourth-round pick in 2025 were traded from the Red Wings to the Ducks on Wednesday in exchange for Gage Alexander.
Fabbri recorded an assist in Saturday's 4-1 win over the Sabres.
Fabbri scored a goal on four shots in Wednesday's 7-2 loss to the Avalanche.
Fabbri delivered a power-play assist in Saturday's 5-0 win over the Flames.
Fabbri (personal) is expected to be in the lineup Saturday against Calgary, according to Ted Kulfan of The Detroit News.
Fabbri (personal) is not expected to be in the lineup Thursday versus the Canucks after welcoming his newborn daughter.
Fabbri (personal) won't play Tuesday against Edmonton, according to Ansar Khan of MLive.com.
Fabbri earned a power-play assist in Saturday's 5-2 win over the Golden Knights.
Fabbri lit the lamp on his only shot in Saturday's 5-3 win over the Kings.