The Bundesliga champions are top of the table and through to the knockout stages of the Champions League.
From this position of strength, Bayern has let the first three weeks of January pass without a senior signing – and Salihamidzic does not plan on entering the market before the end of the month.
The availability of Borussia Monchengladbach midfielder Denis Zakaria has not piqued Bayern's interest; nor has the potential need for a replacement for left-back Alphonso Davies.
The club confirmed earlier this month Davies is unable to take part in training due to a mild inflammation of the heart.
But Salihamidzic said: "We have Lucas Hernandez and Omar Richards [at left-back].
"I said before Christmas that we are well positioned and have no need [in January]."
Bayern were three points clear of second-placed Borussia Dortmund heading into Sunday's match, with BVB having beaten Hoffenheim 3-2 on Saturday.