On Friday, Sanders was asked about Trump's tweet earlier in the day in which he demanded that ESPN "Apologize for untruth!" and whether the president would apologize for birtherism claims made previously by Trump about President Barack Obama.
Though Hill has faced criticism over her tweets - including from ESPN, which released statements calling her comments "inappropriate" but saying it accepted her apology - many are standing with the anchor on Twitter.
Neither Hill nor ESPN immediately responded to the president's Friday morning tweet, and ESPN did not immediately respond to a request for comment.
Hill in several tweets on Monday said that Trump's rise to the presidency was a direct result of white supremacy in America. "Period", an ESPN spokesperson told Fox News. Now I don't personally believe that Trump is a white supremacist.
Disney-owned ESPN did not elaborate on any possible punishment for Hill, and she was on Tuesday evening's "SportsCenter" broadcast as usual. Later in the night, she and the network issued statements to give the notion that they were on good terms.More news: Looking ahead to the Singapore GP
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Jemele Hill doesn't back down, only saying she regrets putting ESPN in a bad position.
"When Sarah Huckabee Sanders called for Jemele Hill to be fired by ESPN, she crossed the line and put herself in dubious legal territory", Jon Cooper, Chairman of the Democratic Coalition, said in a statement.
"We never asked any other anchors to do last night's show".
Hill's assertion caused an uproar, particularly in conservative media circles, where ESPN's political bent has been a point of contention for years.
The report said that ESPN attempted to replace her on the 6 p.m. broadcast Wednesday with a different host until Smith "refused" to go the air without his long-time co-host. She ultimately apologized for the tweet.