This factor could see the 27-year-old up his performances compared to his recent displays at Arsenal and see his goal return noticeably improved if signed by the Magpies.
"We signed the players who we needed and only if one player is a big opportunity for us will we sign them".
Arsenal confirm strong squad including Mesut Ozil, Petr Cech, Alexandre Lacazette and Stephan Lichtsteiner for 2018 International Champions Cup in Singapore.
Ozil has been on holiday since Germany were knocked out in the group stage at the World Cup, but will join the rest of the Arsenal squad before they travel to Asia this weekend.
"Of course I believe in the players, and especially the new players". And I want him to relax good, and I want when he comes back with us, to start good with a good mentality. "He's coming with us to Singapore the first day".
They then face Chelsea in Dublin on 1 August, their final warm-up game before their Premier League campaign begins against Manchester City on 12 August.
"We are also thinking about the players who were with us a year ago and whether we need them to stay with us".
Another added: "I still think we should keep Welbeck. But it's also important for them [to have] the holidays, because the season is very, very hard, it's very, very long, and they need the holidays". "He has a lot of experience and I hope for him and Arsenal that he is successful with the club".