Jayawardena is to continue his batting mentor's role with the England team, a job he had already performed with them in the UAE in the last series against Pakistan.
"A cricketer joining another nation so close to his retirement is not a good thing, SLC chairman Thilanga Sumathipala told reporters yesterday.
"I am of the view that a player who retires from international cricket should not be allowed to work as an expert of another team at least for a period of two years," Sumathipala said.
Jayawardena retired from international cricket in 2014 and since then Sri Lanka's international rankings have nose dived.
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This was exacerbated by the retirement of Kumar Sangakkara.
Sri Lanka lost two home series to India and Pakistan last year since their retirement, and also lost the number one ranking in T20 cricket.
Interestingly, both Sri Lanka and Eggland are clubbed in the same group inthe World T20.