The authority says most riders are following the rules, but some bikes have been left blocking pavements around the world-famous venue.
Extra e-bike parking spaces have been added, including a dedicated drop-off point at the All England Club.
The council says fines, bans or bike seizures could be used if the problem continues, and people can report issues online or in the apps.
Councillor Stuart Neaverson, Cabinet Member for Transport and Cleaner Streets, said:
“Earlier today I held a productive meeting with Lime and Forest in Wimbledon.
“We are committed to making a success of e-bikes in Merton, but we will not accept poorly parked bikes that harm our community. I welcome the commitment of both companies to work with us to manage these bays properly, including making changes to their apps to make the rules even clearer.
“We will be closely monitoring the situation over the coming days, and will seize bikes should serious safety issues emerge.
“Whilst we’re vigilant to ensure our streets stay clear and safe, I don’t want to lose sight of how great it is to see so many people cycling their way to the Championships. It is a privilege to host the world’s favourite tennis tournament, and I’m proud to see sustainable travel at the heart of it.”
