"Clearly the number one jersey is up for grabs", said Southgate.
Wilshere hasn't played for England since the shocking Euro 2016 defeat to Iceland, while Southgate has not selected the midfielder in any squads since being appointed permanent manager of the national team in November 2016.
Among the uncapped players looking to land call-ups are Callum Wilson, Glenn Murray and Ashley Barnes, while Joe Hart's lack of Premier League game time this season has led to calls in some quarters to elevate the in-form Burnley goalkeeper Nick Pope.
The report also claims that injury to Phil Jones and a drop in form from the likes of Gary Cahill and Michael Keane are also tempting Southgate to call Swansea centre half Alfie Mawson, and Tarkwoski's teammate Ben Mee to the England squad.
Sam Bradford is returning to the NFC West
After five seasons plagued with knee injuries and a losing record of 18-30-1, Bradford was shipped to the Philadelphia Eagles . The last time Bradford was healthy for almost an entire season, he was one of the most efficient quarterbacks in the NFL.
The 26-year-old has been drafted back into the Three Lions fold by Gareth Southgate after two years in the global wilderness.
"Jack is a player that has unquestionable talent", said Southgate.
Goalkeeper Joe Hart remained in the squad despite a hard season for West Ham United where he has been left out of the side for several games.
"They are all close to fitness but have not played in matches and are in the early stages of their recovery".
"He's got a great number of caps and he's the most experienced keeper in our squad so we wanted to keep him around". The England boss said the Chelsea defender could win back favour before the World Cup, adding: "I think there are a few players not in this squad who are certainly not out of our mind".
Burnley goalkeeper Pope has been called up after impressing for the Clarets, while Joe Hart retains his place in the squad as one of four goalkeepers.
"Disappointing to be out until next month but injuries are part of the game", Kane wrote on Twitter.