National security adviser Mike Waltz and Energy Secretary Chris Wright are also expected to take part, according to reports on Friday.
Trump insisted on Wednesday that the United States needed the vast Arctic island for national and international security, and has previously refused to rule out the use of force to get it.
"We have to have it," he said.
Greenlandic officials, backed by the European Union, have insisted that will not happen.
Danish Prime Minister Mette Frederiksen earlier this week denounced plans by a US delegation to visit Greenland uninvited -- for what was initially a much broader visit -- as "unacceptable pressure" on Greenland and Denmark.
Greenland’s outgoing Prime Minister Mute B.Egede also criticised the visit, as did his expected successor following elections this month, Jens-Frederik Nielsen.
Nielsen said the visit showed a “lack of respect” for Greenland amid negotiations to form a new government, while Egede characterised it as “external interference”.
The US visit, which was initially planned to take in a dog sled race in Sisimiut as well as the capital Nuuk, was eventually reduced to the US-run Pituffik Space Base in the northwest of the island.
That came after reports of planned demonstrations against the United States in the two Greenlandic towns. Broadcaster TV2 meanwhile reported that the Nuuk Art Museum rejected a visit from Usha Vance, and that US representatives knocking on doors of local residents in the capital to ask if they wanted to be visited by the second lady were also roundly rejected.
READ ALSO: Is US change of plans over Greenland visit a deescalation?
Foreign Minister Lars Løkke Rasmussen said he hopes Vance will get “a good briefing” on Greenland during his visit to Pituffik.
“Because the level of knowledge on this issue needs to be improved,” Løkke told reporters in Copenhagen on Thursday.
“We do not recognise the impression that some people in American political circles seem to have, that Greenland is a place full of Chinese investments. As far as I know, there are none,” he said.
“So it can only be a good thing if people travel, receive briefings, and gain a better understanding of the situation,” the minister said.
Løkke also noted the cancellation of the part of the visit which would have seen contact between a delegation from the US administration and Greenlandic society.
“If you’re being analytical, you have to interpret this as a sign that someone in the US has realised that the narrative about a Greenlandic population standing with open arms and desperate ambitions to become Americans is a false one,” he said.
Vance, who is to meet with US Space Force members at Pituffik, will "check out what's going on with the security" of Greenland, he said in a video message.
The vice president angered Danes in early February when he said Denmark was "not doing its job (protecting Greenland), and it's not being a good ally".
A fuming Frederiksen quickly retorted that Denmark had long been a loyal US ally, fighting alongside the Americans "for many, many decades", including in Iraq and Afghanistan.
A demonstration against the Trump administration’s approach to Greenland has been arranged in Copenhagen this weekend.
The protest, arranged by a small group of Danes and Greenlanders, is intended to show solidarity with Greenland amid Trump's pursuit of the territory.
“We want to express our sympathy and make it clear that this is not acceptable. It is a blatant violation,” said Karen Littauer, one of the organisers of the demonstration.
“We will always be connected [Denmark and Greenland, ed.], even when Greenland eventually becomes independent,” she added in comments to news wire Ritzau.
The demonstration will take place on Saturday from noon-2pm in front of the American embassy, which is located on Dag Hammarskjölds Allé in Østerbro, Copenhagen.
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