Former Health and Human Services Secretary Kathleen Sebelius might be deliberating a run for U.S. Senate in her home state of Kansas, USA TODAY reported.

The news was first reported in the New York Times, which claims Sebelius, who resigned last week, is "considering entreaties from Democrats" to run against Republican Sen. Pat Roberts.

Roberts, 77, is seeking a fourth term and is being challenged in the Republican primary by Dr. Milton Wolf, who is supported by the Tea Party.

In the overwhelmingly conservative Kansas, a campaign for Sebelius would be an uphill battle due to the rocky Obamacare rollout in the fall ... not to mention they have not elected a Democrat to the Senate since 1939.

Though Sebelius was a twice-elected governor in the state and won with 58 percent of the vote in 2006, a Public Policy Polling survey said only 38 percent of residents view her favorably, while 55 percent view her unfavorably.

Opponents took to social media sites like Twitter to discuss the possibility of Senator Sebelius.

"Get fired n your next career move is 2 run against a person that cut U a new one b4 Congress, classic Sebelius logic," one critical user tweeted.

"These ppl r sick in the head," another user wrote.

However, Sebelius supporters offered words of encouragement and expressed their desire for her to take public office again.

"Kansas Democrats want to draft Kathleen Sebelius for Senate. Where do I go to contribute?" another user said.

Sebelius has not commented on the speculation yet. She has until June 2 to decide, which is the deadline for filing for the Senate primary in Kansas.