BP is working with German energy firm Energie Baden-Wuerttemberg (EnBW).
France’s TotalEnergies said last month that it would bid for ScotWind licences with Australian investment bank Macquarie.
Equinor of Norway and Scottish Hydroelectric owner SSE are also in the running.
Mr Anderson is confident that Glasgow-based ScottishPower will have a good chance of winning licences with Shell.
He said: “Bringing ScottishPower and Shell’s collective knowledge, experience and expertise together means we’re perfectly placed to lead the way in developing large-scale offshore floating windfarms and creating a new green industry with massive potential for exporting our skills and experience globally and helping the UK decarbonise its energy generation.”