Pence is scheduled to meet with Turkish President Recep Tayyip Erdogan on Thursday, when Pence will "reiterate President Trump's commitment to maintain punishing economic sanctions on Turkey until a resolution is reached," according to a statement released by Pence's office on Tuesday.
During his stay in Turkey, Pence will also voice the conditions for a negotiated settlement, the statement added.
However, Erdogan has already rejected Trump's cease-fire offer but agreed to keep in dialogue with Washington.
"I told President Trump that we would not declare a cease-fire first before discussing other issues ... we will make a deal first, then we will talk about the truce," Erdogan was quoted as saying by Turkish broadcaster NTV on Tuesday, referring to a phone call he had with Trump on Monday.
Pence and Pompeo's tour comes after the United States on Monday rolled out a package of sanctions on Turkey over its military operations in Syria, including blacklisting senior Turkish officials, halting bilateral trade negotiations and raising tariffs on steel imports from the country.