British media reports say that Everton have agreed a 25 million pounds ($33.73 million) deal to sign Besiktas striker Tosun on a four-and-half-year contract when the transfer window opens on January 1.
Allardyce has high hopes for England Under-20 World Cup victor Dominic Calvert-Lewin, but insists that the youngster needs time to develop.
And when asked yesterday about being linked with the 26-year-old Turkey worldwide, Toffees boss Allardyce said: "Him and many others, because we need a frontman if we can find one".
"There's an interest obviously because we're actively looking for a front man, but the interest from other clubs around Europe is our biggest worry if we are to secure that transfer", said Allardyce.
Biggest supermoon of 2018 to shine over Taiwan tonight
Also, the 2nd full moon is extra special, as it is many times referred to as the "blue moon" being the 2nd in a month. Today, our lunar companion reaches an extreme perigee distance of 221,559 miles (356,565 kilometers).
"We need to strengthen in our goal scoring areas", Allardyce told a news conference. Really need to get it done in the next 48 hours otherwise it could be another one we let fall through our fingers.
Bournemouth boss Eddie Howe, whose side are without a win since November, believes Allardyce has done well to improve morale at Everton since taking over from interim boss David Unsworth.
"Sandro hasn't picked up the pace of Premier League and hasn't been able to show what he could do in Spain, Oumar [Niasse] has scored the odd goal but has never been a regular and was loaned out to Hull City while Dominic Calvert-Lewin is battling away but his goal record is around four".
Ross Barkley, meanwhile, remains on course for a return early in the New Year, having missed the entire season to date with hamstring trouble.
North Korea gives United States condition to end nuclear tests
That includes a stern speech delivered in South Korea's National Assembly on Tuesday, in which he said: "Do not underestimate us".
"We're consistently defending well, but on the opposite, we're not attacking very well in possession", said Allardyce.
"I think he's got a bright future, but I don't think we can rely on him week in and week out at the moment".
"For me, knowing him from that age and knowing him now, yes, I would like him".
Conte hails Chelsea's improved defensive record
César Azpilicueta is having arguably his best season and has helped solidify the Chelsea backline. We've scored less, but we've conceded less, too".