Meanwhile, the hosts were pushed all the way in the last round of the competition as they came from behind against Academico de Viseu to win 3-2 in extra time.
Porto managed to bounce back from their Taca de Liga semi-final defeat to Sporting Lisbon last week with a narrow 1-0 victory away at Farense in the Primeira Liga on Monday.
Conceicao will have been pleased that his side kept a clean sheet, having previously struggled defensively at times this campaign.
The Dragons have conceded 17 goals in their opening 15 league matches, with the likes of Belenenses and Friday's opponents Gil Vicente – both currently in the bottom half of the table – shipping fewer goals than the reigning Primeira Liga champions so far.
Porto head into their match with the Galos having won seven of their last nine meetings against them, although they did lose their last visit 2-1 at the Estadio Cidade de Barcelos in August 2019.
The Dragons, who won the Taca de Portugal for the first time in nine years last season, are hoping to reach their fourth successive semi-final with a win on Friday.
Gil Vicente, meanwhile, suffered their third successive league defeat as they narrowly lost 1-0 away to Braga on Tuesday night.
Milton Mendes's side failed to have a single shot on target and were caught out in the 73rd minute when Iuri Medeiros was played through on goal, and he placed his strike beyond goalkeeper Denis to secure all three points for the hosts.
The Galos remain in the relegation playoff position on 13 points, one point above the bottom two but now turn their attention to the Taca de Portugal, with hopes of causing an upset against the current holders.
Gil Vicente have already faced Porto this campaign, losing 1-0 away from home back in October, despite the hosts having a man sent off.
The Galos are looking to reach the semi-finals of the competition for the first time since the 2015-16 campaign - a year when they were eventually knocked out by Porto.
Gil Vicente Taca de Portugal form: WWW
Gil Vicente form (all competitions): LDLWLL
Porto Taca de Portugal form: WWW
Porto form (all competitions): WWWDLW
Manager Mendes could revert to the 3-4-3 formation that he used in the last meeting with the Dragons.
Porto are one of many Portuguese sides to have experienced a coronavirus outbreak that has sidelined a number of their first-team stars.
Gil Vicente possible starting lineup:
Denis; Nogueira, Rodrigao, Fernandes; Pereira, Mineiro, Goncalves, Talocha; Lourency, Lino, Leautey
Porto possible starting lineup:
Costa; Manafa, Pepe, Liete, Sanusi; Corona, Uribe, Grujic, Anderson; Marega, Taremi
We say: Gil Vicente 0-2 Porto
Despite Porto missing several first-team players due to coronavirus, the reigning Taca de Portugal winners should still have enough quality in their side to overcome Gil Vicente on Friday night and reach the semi-finals.