During the exchange, Davidson claimed that he has "stopped SNL" from mocking the rapper on the show "for months" in addition to refraining from making jokes about him during stand-up routines.

"You have no idea how nice I've been to you despite your actions towards me," the jokester seems to have written in a text, later adding, "I've had your back even though you treat me like s— because I want everything to be smooth."

RELATED: Kim Kardashian Says New Hulu Series Shows How She and Pete Davidson Connected: 'All the Details'

"But if you continue to press me like you have for the past 6 months," he noted, "I'm gonna stop being nice."

PEOPLE has reached out to Davidson and West's reps for comment.

The alleged text exchange between Davidson and West is believed to have been in response to some of the 12 now-deleted posts shared on the rapper's Instagram page Sunday morning.

In his first post of the day, West reposted a now-deleted TikTok video featuring his daughter and estranged wife in black clothing and makeup while lipsyncing to the song "Emo Girl" by Machine Gun Kelly featuring Willow Smith. In the caption, West took issue with the message he believed was being sent by both the song and his daughter's video.

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