In-demand Pereira has found himself on the fringes of the Inter squad under Walter Mazzarri - with only five Serie A appearances to date.
Yuto Nagatomo has emerged as the Italian coach’s first choice out wide on the left in his 3-5-2 formation, leaving the ex-Porto man to evaluate his options elsewhere.
Chelsea and Tottenham Hotspur have each been linked with a potential move for Pereira in an effort to bolster their defensive options in the past months.
However, no formal offer has been made for the 28-year-old, with the Daily Mirror now claiming that the Swans are keenly watching the situation with the intent of acquiring his services in a January loan deal.
Ben Davies has almost exclusively seen time at left-back for Swansea, scoring twice, and could use veteran cover in addition to Dwight Tiendalli.
Pereira is at great risk of missing out on the World Cup should he not receive more minutes imminently at Inter and may be intrigued by a possible Premier League switch.
He only moved to San Siro in August 2012 for €10 million but should be available for considerably less given his lack of involvement of late, if a straight sale is to be considered.