CRJ-700 Captain reported receiving a L Bleed Duct warning during climbout at 13;000 feet. The crew descend back to 10;000 feet and decided to return to the departure airport for an overweight landing.

Narrative

Climbing through 13000 feet we received L Bleed Duct Warning MSG (Message). First; I told the FO I thought we should stop climbing and descend back to 10000 feet. He agreed and we told ATC we wanted to descend to 10000 and run a checklist due to a potential pressurization issue. ATC gave us 10000 and asked if we wanted to [request priority handling]. Due to our current cabin altitude and our descent back down to 10000; I didn't see an immediate threat necessitating a critical situation. We ran the QRH and determined a return to the field was the safest option. We completed the QRH procedures and advised ATC of our intent to return to ZZZ. I notified the FA (Flight Attendant); Dispatch; and passengers. We prepared for our approach into ZZZ and determined the aircraft would be overweight by 2000 lbs. We considered holding to burn of some fuel but due to the depressurization and the cabin temperature rising we decided an overweight landing would be in the best interest of the passengers. The FO was low time and hadn't flown in 2 months so I decided to assume PF and conduct the approach and landing. We touched down very smoothly to reduce the stress of the extra weight and then returned to the gate without further incident.