Nadim landed in Stockholm on Tuesday and will allegedly soon be presented in the Swedish club who before the start of the season also purchased Norwegian international Emilie Bragstad.
According to Aftonbladet, Nadim will sign a contract valid until the summer break.
Hammarby is expected to pay only 10 % of Nadim's salary as the Italians still will pay the majority of Nadim's monthly paycheck of 35,000 EUROs.
The experienced Danish striker has had a distinguished career witha silver medal from the European championships in 2017 as the absolute highlight. In total she has played more than 100 international matches for Denmark.
In addition, she has also represented clubs such as Paris Saint Germain, Manchester City and Portland Thorns apart from AC Milan.