Managerial staff are working to find a suitable replacement for the team's attacking needs.
Newcastle has already made a £25m offer for Yoane Wissa, who plays for Brentford, but they are also considering Jackson as an option.
The club has expressed its interest in Jackson to Chelsea and is prepared to discuss the transfer fee with the Blues if they are willing to sell.
Jackson has rejected offers from Napoli and AC Milan, preferring to stay in the Premier League, even if it means leaving Chelsea.
Newcastle is also looking at other options, including Ollie Watkins, who plays for Aston Villa.
