SLC president Thilanga Sumathipala termed Jayawardene's decision "sad and disappointing", even though it will be for just 10 days.
Interestingly, both Sri Lanka and Eggland are clubbed in the same group.
"I had a lot of respect and gratitude for Mahela's knowledge, but now he's advisor to a competing team of ours. I'm very disappointed that a national captain, within a few months of retirement, has been retained by another team at a World Cup," Sumathipala was quoted as saying by 'ESPNcricinfo'.
Jayawardene had previously worked with England for two Tests, during their tour to the UAE in 2015.
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Jayawardene played his last ODI for Sri Lanka in March last year, but had quit T20s in April 2014.
"You need that minimum cooling-off period, because you were recently in the team," Sumathipala said.
"You know the team's strengths and its weaknesses because you're inside the team. You know your team planning ahead of the World Cup. I think I've been very sad and disappointed by this.