Place the intake hose of a siphon pump into the bottom of your excavated site. Pump the handle or run a siphon pump to remove all water standing in the bottom.
Fill the bottom of the excavated site with a layer of rocks if water keeps seeping in. Use the rocks to create a level that is higher then the water level.
Line the walls of the excavated site with brown paper, which will absorb excess water in the soil. The brown paper can remain in the ground after pouring, where it will eventually biodegrade.
Create a thicker concrete mix. Once poured, the concrete will still absorb groundwater. Leaving some of the water out of the mix will counterbalance the extra water in the soil.
Cover the concrete loosely with plastic so air can still get in to gradually dry the concrete. Leave the plastic until the concrete cures. Start misting the concrete periodically with water only if the soil dries during the curing process.