Cissy and Whitney's sister-in-law Pat Houston - who are co-executors of Whitney's estate - had previously filed legal papers in an attempt to limit Bobbi Kristina's access to her $20m (£12.4m) inheritance, saying the arranged payouts would be "too much, too soon" for the teenager.
According to TMZ, Cissy and Pat recently dismissed their case after both parties reach an agreement.
Arrangements have reportedly changed very little compared to plans laid out in the original court documents.
It is understood that Bobbi Kristina will now receive the money in three instalments: 10% when she turns 21 ($2m), just under 20% at the age of 25 ($4m) and the remainder when she turns 30 ($16m).
Earlier this month, the 19-year-old confirmed that she is engaged to her adopted brother Nick Gordon.