The Australian was on his way back from a team dinner in Tel Aviv when he crashed the e-scooter on a kerb.
While the team could not yet confirm Sutherland's outlook, it is likely to be at least a couple of months.
The 37-year-old missed the presentation of the team formerly known as Israel Cycling Academy where their new name and kit was also revealed to the press.
After obtaining WorldTour status for 2020, Israel Start-Up Nation will be the first Israel-registered pro team to ever participate at the Tour de France.
The 30-rider roster includes this year's Paris-Roubaix runner-up, Nils Politt, 22-time Grand Tour stage winner Andre Greipel and 2013 Liege-Bastogne-Liege winner Dan Martin.
“There are no illusions on our part: WorldTour races are very hard and the teams are top level," Sport Director Kell Carlstrom said.
"We need to be ready and be competitive and race hard every single race, and score points. We are determined to climb in the ranking as far as possible."
The team is owned by Israeli Canadian philanthropist Sylvan Adams and Israeli businessman Ron Baron.
2020 team roster:
Matteo Badiletti (Switzerland)
Rudy Barbier (France)
Jenthe Biermans (Belgium)
Guillaume Bovin (Canada)
Matthias Brändle (Austria)
Alexander Cataford (Canada)
Davide Cimolai (Italy)
Alex Dowsett (Great Britian)
Itamar Einhorn (Israel)
Omer Goldstein (Israel)
Andre Greipel (Germany)
Ben Hermans (Belgium)
Hugo Hofstetter (France)
Reto Hollenstein (Austria)
Dan Martin (Ireland)
Travis McCabe (USA)
Daniel Navarro (Spain)
Krists Neilands (Latvia)
Guy Niv (Israel), James Piccoli (Canada)
Nils Politt (Germany)
Mihkel Räim (Estonia)
Alexis Renard (France)
Guy Sagiv (Israel)
Patrick Schelling (Switzerland)
Rory Sutherland (Australia)
Norman Vahtra (Estonia)
Mads Würtz Schmidt (Denmark)
Rick Zabel (Germany)
