The phrase "add to current" is correct and usable in written English.
It can be used when referring to increasing or supplementing something that is already in existence or ongoing.
Example: "We need to add to current resources to meet the project's demands."
Alternatives: "supplement existing" or "increase current".
Several gene therapeutic approaches have been proposed to add to current antiretroviral therapy against HIV-1.
Our results add to current knowledge on the number and precise localization of multiple tonotopic maps in human auditory cortex.
A smaller one puts lawmakers in the position of deciding, in hard times, what they can add to current spending.
These findings add to current knowledge on metaphorical cues in package design and the package's presentation context and offer insights into the underlying mechanism.
Instead of coming up with policies to strengthen the economy, the Republicans are demanding deep, immediate spending cuts, which would only add to current weakness.
And, to explained it, we suggest to add to current oscillatory mechanism for FAO the steps originally proposed by Tian and Conway (2005) that involves direct chemical reaction of surface oxide with the bulk formic acid (or formate).
After independence, the cost of services currently provided by the national government would have to be added to current public spending by the Catalan autonomous government.
Biomass demand for pulpwood will not simply be added to current demand, except possibly in the very short run.
If lawmakers only add in the cost of Medicaid, only $4.7 billion or so will be added to current spending to determine the size of the base.
This influx is adding to current estimates of about 5,000 young people selling themselves for sex, as detailed by Barrett and Brown's book, Knowledge of Evil.
Then, this pattern (column) is added to current BFS and the master problem is recalculated based on the enlarged BFS.
