Here are some other words that could be used depending on the context:
* Imbibe: This word implies a more active and deliberate soaking up of ink, as if the paper were drinking it.
* Saturate: This word emphasizes the complete absorption of ink, leaving the paper fully saturated.
* Drink: This is a more informal and whimsical way to say that the paper is soaking up the ink.
The best word to use will depend on the specific situation and the desired tone.