In a number of information retrieval applications, such as patent search, literature review, and due diligence, preventing false negatives is more important than preventing false positives. However, approaches designed to reduce review effort, such as ‘technology assisted review’, can create false negatives, since these are often based on active learning systems that exclude documents automatically based on user feedback. To address this issue, we propose a recall-oriented approach to reducing review effort, through iteratively re-ranking the relevance rankings based on user feedback. We propose and experiment with various relevance feedback strategies. Best results are obtained by using a BERT-based dense-vector search for relevance rankings, and basing relevance feedback on cumulatively summing the queried and selected embeddings. Our results show that this method can reduce review effort between 17.85% and 59.04%, compared to a baseline approach of no feedback, given a fixed recall target.