Welcome Preed:
Yes, I would remove the existing concrete, use a mechanical vibrating tamper but hold it 1' away from any inside or outside wall, break out a brick every 2' to 4' so the concrete can be worked into the space, use #4 re-bars with a J-hook placed in each brick cavity. Tie the bars on 1' centers both ways and you will have a bridge on stable footing that will not settle.
Glenn
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