Tottenham and AC Milan have held talks about signing Krzysztof Piatek this month.
Talks are not at an advanced stage and no formal offers have yet been made for the Polish striker.
It is unclear at this point if any move would be temporary or permanent.
Tottenham are short of striker options after captain Harry Kane was ruled out until April following surgery on a ruptured tendon in his left hamstring.
Jose Mourinho told the media on Friday: "Even the coaches without problems, even the coaches with the best squad, for example even Jurgen (Klopp, Liverpool manager) with the best team, was happy to add a new player (Takumi Minamino).
"We are all the same. The reality is that I came here two months ago, I knew the situation.
"I didn't know I would lose Harry and Moussa (Sissoko) for so long. But the situation was to get the best out of the players that we have. That doesn't change.
"If the boss (Daniel Levy, owner) arrives with a solution that can help us with these difficult months we have in front of us, then it is welcome.
"But if we don't find the right solution, then we are going to wait for the next summer to try and make the right decisions for the evolution for the team. My focus is on the players I have available."
Piatek joined AC Milan in a £31m deal from Genoa on a four-and-a-half-year contract in January 2019 and has scored 15 goals in 39 appearances.
The 25-year-old, who has 10 caps for Poland, originally joined Genoa for £3.6m from Polish side Cracovia in the summer of 2018.
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He was signed by Milan midway through the season after scoring 13 Serie A goals in just 19 appearances for Genoa.
Piatek has not been as prolific this season, scoring four times in 18 Serie A appearances for Stefano Pioli's side, who currently sit 12th in the table.
Milan bolstered their attacking options earlier this month when they signed Zlatan Ibrahimovic on a six-month deal, with an option to extend his stay by a further year.
Meanwhile, Inter Milan are continuing their attempts to sign Christian Eriksen in the coming weeks but no agreement has been reached.
The Italian club's chief executive Giuseppe Marotta confirmed earlier this week that they are interested in the Denmark international but said they have had no discussions with Spurs yet.
Analysis: What Piatek would bring to Tottenham
Sky Sports' Ben Grounds
With Piatek on board, Mourinho could also be tempted to move towards a 4-3-3 formation with wingers - as seen during his first spell at Chelsea with Piatek through the middle.
During his time in Genoa, Piatek played predominantly in a 3-5-2 formation as a main striker, usually on the left, supported by Christian Kouame, a pacey forward that could see Son used in a front two, but that would create a potential problem for Alli.
The Portuguese will be reluctant to tinker with the position of Alli, but a 4-3-1-2 formation, with the in-form midfielder behind Son and Piatek could be the best route going forward.
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