Esa run on payments deducted as income for uc

Hi,

my first universal credit statement shows >£500 of deductions due to ESA income. Am i correct in thinking that the ESA 'run on' payments between submitting my universal credit migration claim and my first uc payment should be disregarded? When i called up UC they said that it was considered income, so uc is deducted for the first month, but from the following month it wouldn't be deducted.

If so, this means i will have over £500 less income this month due to this? Is this what normally happens? Wondering if I've misunderstood or budgeted incorrectly :/

Thank you!

Oh right, so I will be receiving ESA payments too? I was on income based esa (lcwra) before (originally on contributions based and then this changed to income based), and seemed to have moved from contributions based esa to new style esa, however i've not had anything through to say i will be receiving any payments from them?

Thank you for your help, much appreciated!