The Royal Lancaster Infirmary failed to hit national A&E targets in November and December.
The hospital saw, treated, and either admitted or discharged 91.4 per cent of patients within four hours over the two months, according to new figures.
The national target is 95 per cent. Only 13 trusts in England managed to hit the target
At the RLI, a total of 132 people had to wait longer than four hours, up by 39 on previous figures, but still below the England average of 268, which fell by 82.
University Hospitals of Morecambe Bay NHS Trust (UHMBT) advised members of the public to use A&E services wisely, saying that A&E departments at the RLI and Furness General Hospital had seen sustained pressure over the Christmas and New Year periods. But figures obtained by the BBC show that attendance at A&E at the RLI was down by 157 to 1,527.
Dr Paul Grout, Clinical Director for Acute and Emergency Medicine at the trust, said while the hospitals operated by the Trust were continuing to see patients, there had been an increase in the numbers waiting more than four hours within the A&E departments to be seen, treated and either discharged or admitted.
He said: “While we will see and treat all patients who attend, there are those who could be better treated elsewhere. During the winter season this puts extra demands on already pressured emergency departments.
“Please help us make sure our staff are free to treat those most in need, who have serious illness or injury.
“If someone is seriously ill or injured and their life is at risk then 999 should be called. However, coughs, colds, sore throats and other minor ailments such as sprains, do not necessarily require a trip to A&E. Please ring the NHS advice line on 111 if you are unsure.”