Managers at North Cumbria University Hospitals trust say they are facing some "immediate" problems with staff shortages at the West Cumberland Hospital.
Bosses have written to other trusts in the North East and North West of England to try to plug the gaps short-term.
The West Cumberland Hospital will lose its three remaining junior doctors in August which will make current staff shortages worse.
“We are facing some immediate problems in terms of our acute care medical rota at West Cumberland Hospital and we want to be transparent and open with all of our stakeholders about this.
“We have today written to all chief executives in the North East and North West to request any interim support they may be able to give us in August in order to ensure continuity of care for our patients.
“There is no escaping some of the very real recruitment challenges we face as a Trust and we are committed to working through these and making sure all of our patients, staff, the public and other stakeholders are kept fully up to date with progress."
– Dr Jeremy Rushmer, Medical Director, North Cumbria University Hospitals NHS Trust
Gina Tiller has spoken after it was announce that she has been appointed as the new Chair of North Cumbria University Hospitals NHS Trust.
“I have been impressed with the commitment, determination and drive I have witnessed to date, from the staff who are working tirelessly to deliver the best possible safe care to patients.
"I am confident that we will continue to improve the services we provide to patients, in a way builds confidence within our local communities. In doing so, this will also prepare the organisations for acquisition by Northumbria Healthcare.
"I am looking forward to working with all stakeholders to shape a positive future for North Cumbria University Hospitals Trust."
– Gina Tiller, Chair of North Cumbria University Hospitals NHS Trust
A stroke victim was sent home from a Cumbria hospital by a doctor because "no stroke unit was available", according to an NHS report.
The patient was discharged by a locum doctor from one of the hospitals run by North Cumbria University Hospitals NHS Trust, according to the trust's board papers.
An investigation has been launched by the trust's medical director into the process for appointing agency locum medical staff.
The locum in question no longer works at the trust, according to the document.
There were also three other "serious" patient incidents during June at the trust, which runs Cumberland Infirmary in Carlisle, the West Cumberland Hospital in Whitehaven and a midwifery-led service at Penrith Community Hospital.
One patient was operated on after mistakenly being given a local instead of a general anaesthetic.
Medics missed a "mass" which should have been spotted on a chest X-ray of another patient.
And a consultant coughed during a procedure which resulted in a patient moving - which they claimed "affected the clinical outcome".
The trust is one of 11 that was put put into "special measures" for "fundamental breaches of care" following a review into 14 trusts with higher than expected death rates.
The investigation, led by NHS medical director Professor Sir Bruce Keogh, found that none of the hospitals investigated was providing "consistently high-quality care to patients".