diff --git a/pkg/storage/bloom/v1/bloom_tokenizer.go b/pkg/storage/bloom/v1/bloom_tokenizer.go
index 8581b75416e40..49f92d51ac1d5 100644
--- a/pkg/storage/bloom/v1/bloom_tokenizer.go
+++ b/pkg/storage/bloom/v1/bloom_tokenizer.go
@@ -121,18 +121,23 @@ func (bt *BloomTokenizer) PopulateSeriesWithBloom(seriesWithBloom *SeriesWithBlo
 // TokenizeLine returns a slice of tokens for the given line, based on the current value of the tokenizer
 // If the tokenizer has a skip value, then the line will be tokenized multiple times,
 // starting at the beginning of the line, with "skip" number of iterations, offset by one each time
-func (bt *BloomTokenizer) TokenizeLine(line string) []Token {
-	tokens := make([]Token, 0, 100)
+// Each offset is kept as a separate slice of tokens, and all are returned in a slice of slices
+func (bt *BloomTokenizer) TokenizeLine(line string) [][]Token {
+	allTokens := make([][]Token, 0, 10)
 	if len(line) >= bt.lineTokenizer.GetMin() && len(line) >= bt.lineTokenizer.GetSkip() {
 		for i := 0; i <= bt.lineTokenizer.GetSkip(); i++ {
-			tmp := bt.lineTokenizer.Tokens(line[i:])
-			for _, token := range tmp {
+			tmpTokens := make([]Token, 0, 100)
+			tokens := bt.lineTokenizer.Tokens(line[i:])
+			for _, token := range tokens {
 				tmpToken := Token{}
 				tmpToken.Key = make([]byte, len(token.Key))
 				copy(tmpToken.Key, token.Key)
-				tokens = append(tokens, tmpToken)
+				tmpTokens = append(tmpTokens, tmpToken)
+			}
+			if len(tokens) > 0 {
+				allTokens = append(allTokens, tmpTokens)
 			}
 		}
 	}
-	return tokens
+	return allTokens
 }
diff --git a/pkg/storage/bloom/v1/bloom_tokenizer_test.go b/pkg/storage/bloom/v1/bloom_tokenizer_test.go
index 015282975f6f8..33c9770fe403e 100644
--- a/pkg/storage/bloom/v1/bloom_tokenizer_test.go
+++ b/pkg/storage/bloom/v1/bloom_tokenizer_test.go
@@ -49,28 +49,28 @@ func TestDefaultTokenizeLine(t *testing.T) {
 	for _, tc := range []struct {
 		desc  string
 		input string
-		exp   []Token
+		exp   [][]Token
 	}{
 		{
 			desc:  "empty",
 			input: "",
-			exp:   []Token{},
+			exp:   [][]Token{},
 		},
 		{
 			desc:  "single char",
 			input: "a",
-			exp:   []Token{},
+			exp:   [][]Token{},
 		},
 		{
 			desc:  "four chars",
 			input: "abcd",
-			exp: []Token{
-				{Key: []byte("abcd")}},
+			exp: [][]Token{
+				{{Key: []byte("abcd")}}},
 		},
 		{
 			desc:  "uuid partial",
 			input: "2b1a5e46-36a2-4",
-			exp: []Token{
+			exp: [][]Token{{
 				{Key: []byte("2b1a")},
 				{Key: []byte("b1a5")},
 				{Key: []byte("1a5e")},
@@ -82,7 +82,7 @@ func TestDefaultTokenizeLine(t *testing.T) {
 				{Key: []byte("-36a")},
 				{Key: []byte("36a2")},
 				{Key: []byte("6a2-")},
-				{Key: []byte("a2-4")},
+				{Key: []byte("a2-4")}},
 			},
 		},
 	} {
@@ -99,37 +99,37 @@ func TestTokenizeLineWithSkips(t *testing.T) {
 	for _, tc := range []struct {
 		desc  string
 		input string
-		exp   []Token
+		exp   [][]Token
 	}{
 		{
 			desc:  "empty",
 			input: "",
-			exp:   []Token{},
+			exp:   [][]Token{},
 		},
 		{
 			desc:  "single char",
 			input: "a",
-			exp:   []Token{},
+			exp:   [][]Token{},
 		},
 		{
 			desc:  "four chars",
 			input: "abcd",
-			exp: []Token{
-				{Key: []byte("abcd")}},
+			exp: [][]Token{{
+				{Key: []byte("abcd")}}},
 		},
 		{
 			desc:  "longer string",
 			input: "abcdefghijkl",
-			exp: []Token{
-				{Key: []byte("abcd")},
-				{Key: []byte("defg")},
-				{Key: []byte("ghij")},
-				{Key: []byte("bcde")},
-				{Key: []byte("efgh")},
-				{Key: []byte("hijk")},
-				{Key: []byte("cdef")},
-				{Key: []byte("fghi")},
-				{Key: []byte("ijkl")},
+			exp: [][]Token{
+				{{Key: []byte("abcd")},
+					{Key: []byte("defg")},
+					{Key: []byte("ghij")}},
+				{{Key: []byte("bcde")},
+					{Key: []byte("efgh")},
+					{Key: []byte("hijk")}},
+				{{Key: []byte("cdef")},
+					{Key: []byte("fghi")},
+					{Key: []byte("ijkl")}},
 			},
 		},
 	} {
@@ -178,7 +178,7 @@ func TestPopulateSeriesWithBloom(t *testing.T) {
 
 	bt.PopulateSeriesWithBloom(&swb, chunks)
 	tokens := bt.TokenizeLine(testLine)
-	for _, token := range tokens {
+	for _, token := range tokens[0] {
 		require.True(t, swb.Bloom.Test(token.Key))
 	}
 }