Reports say a military convoy has been deployed to Turkey's Kilis province.
In fact, ISIS members and supporters have been operating in Turkey, and the Turkish government has at times treated those who expose ISIS activities more harshly than ISIS supporters themselves.
Following Trump's move, Turkey chose to postpone its military operation against Syrian Kurdish fighters in northeast Syria.
Despite the group's declaration, there has not yet been official confirmation of a larger Turkish offensive.
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A sign is displayed at the National Archives building that is closed because of a U.S. government shutdown in Washington . The party has offered to keep spending at existing levels, $1.3bn, for border fencing and other security measures.
The pace of troop movements, along with diplomatic outreach, intensified Monday, the same day the Pentagon confirmed outgoing Defense Secretary Jim Mattis ordered US troops to start leaving Syria, without elaborating.
However, Trump's announced troop withdrawal has defused the crisis of American troops being caught in the middle, and along with it the possibility of a U.S. -Turkey clash.
Turkey vowed on Monday that the fight against Islamic State would not be slowed by the USA withdrawal from Syria, where Ankara-backed rebels reinforced their positions around the potential flashpoint town of Manbij.
The PKK, which has waged an insurgency against Turkey since 1984, is blacklisted as a terrorist organisation by Ankara and its Western allies.
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In a Twitter posting on Monday, Trump said Erdogan vowed to continue the fight against ISIS. Erdogan has vowed to dislodge the US -backed Kurdish YPG fighters from along its border with Syria.
In the past two years, Turkey has conducted two offensives into northern Syria, dubbed "Euphrates Shield" and "Olive Branch".
He did not say when the meeting would happen, but Turkey's foreign minister, Mevlut Cavusoglu, announced that he will travel to Russian Federation in the coming days to discuss Syria, according to CNN Turk.
In the meantime, Turkey has been working to strengthen its military position both along the Syrian border and by proxy forces already inside the country.
"Yesterday units from the (rebel) Syrian National Army headed toward the Manbij front and took preliminary positions (in preparation) for the battle", said Major Youssef Hamoud, the spokesman for the National Army.
USA troop withdrawal emboldens Isis to launch 'intense attack' in Syria
Trump has long bemoaned the amount of money the US spends overseas and complained that other countries don't pay their share. The press conference came after the prime minister met with his USA counterpart Mike Pompeo on Saturday.
Ibrahim Kalin, spokesman for President Tayyip Erdogan dismissed concerns that the withdrawal ordered by US President Donald Trump would allow Islamic State to regain territory. Russia, alongside Iran, has propped up Syrian President Bashar al-Assad, while Turkey has backed various rebel groups.