The Brazilian star is contracted to the Blues until the end of the 2019-20 season but his long-term future at Stamford Bridge stays unclear.
Tottenham Hotspur have reportedly offered the 31-year-old a lucrative contract to make the move to North London on a free transfer this summer.
However, according to Bleacher Report, Arsenal are also very much in the chase for the South American, with the Gunners 'making contact' to determine what sort of deal he is looking for in terms of wages and length.
Willian, who is believed to like a three-year contract at Chelsea, has scored 11 times and provided nine assists in 45 appearances for Frank Lampard's side during the current season.
The versatile attacker has been in English football since completing a move from Russian club Anzhi Makhachkala in 2013.
Arsenal boss Mikel Arteta will only have limited funds to spend this summer due to the financial impact of the recent outbreak, and the Spaniard recently admitted that he had "big concerns" over the size of the club's budget.
Born: August 9, 1988 (age 31)
Height: 5'8.5" (175cm)
Weight: 12st 2lb (77kg)
Hometown: Ribeirao Pires, Brazil
Nationality: Brazil Brazilian
Team: Chelsea (no. 10)
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