NCIC said it did not expect any impact on how and where patients in north Cumbria received care and staff were also not expected to be impacted.
North East and North Cumbria ICB said it would work with its partners over the coming months to ensure an “effective transition” and the get the “best possible outcome” for the population.
Minns said she and other local MPs had been encouraged by the progress made by NCIC under the current regional system and did not want to risk this being disrupted by the move.
The trust is one of five failing NHS trusts put on a national recovery scheme.
“Our priority is to make sure that the health services in our area continue to improve,” she said.
“We think that’s best achieved by the trust staying with the North East ICB.”
She said the MPs would be following up with ministers over the plans.
The Department of Health and Social Care said the government wanted to give locally elected mayors more responsibility and powers.
“To support that aim, we are looking to align the boundaries of integrated care boards with strategic authorities, including in Cumbria,” a spokesperson said.
“However, no final decisions have yet been taken, and we will be taking into account the views of local communities on the proposed changes.”
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