diff --git a/pyproject.toml b/pyproject.toml
index 8a92df2..b347656 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -21,6 +21,7 @@ dependencies = [
     "numcodecs-wasm-tthresh~=0.2.0",
     "numcodecs-wasm-uniform-noise~=0.3.0",
     "numcodecs-wasm-zfp~=0.5.1",
+    "numcodecs-wasm-zfp-classic~=0.3.1",
     "numcodecs-wasm-zlib~=0.3.0",
     "pandas~=2.2",
     "scipy~=1.14",
diff --git a/src/climatebenchpress/compressor/compressors/__init__.py b/src/climatebenchpress/compressor/compressors/__init__.py
index f3e899c..4c58e4e 100644
--- a/src/climatebenchpress/compressor/compressors/__init__.py
+++ b/src/climatebenchpress/compressor/compressors/__init__.py
@@ -1,4 +1,13 @@
-__all__ = ["BitRound", "BitRoundPco", "Jpeg2000", "StochRound", "Sz3", "Tthresh", "Zfp"]
+__all__ = [
+    "BitRound",
+    "BitRoundPco",
+    "Jpeg2000",
+    "StochRound",
+    "Sz3",
+    "Tthresh",
+    "Zfp",
+    "ZfpRound",
+]
 
 from . import abc as abc
 from .bitround import BitRound
@@ -8,3 +17,4 @@
 from .sz3 import Sz3
 from .tthresh import Tthresh
 from .zfp import Zfp
+from .zfp_round import ZfpRound
diff --git a/src/climatebenchpress/compressor/compressors/zfp.py b/src/climatebenchpress/compressor/compressors/zfp.py
index a6611b8..82bc23e 100644
--- a/src/climatebenchpress/compressor/compressors/zfp.py
+++ b/src/climatebenchpress/compressor/compressors/zfp.py
@@ -1,6 +1,6 @@
 __all__ = ["Zfp"]
 
-import numcodecs_wasm_zfp
+import numcodecs_wasm_zfp_classic
 
 from .abc import Compressor
 
@@ -19,4 +19,6 @@ class Zfp(Compressor):
 
     @staticmethod
     def abs_bound_codec(dtype, error_bound):
-        return numcodecs_wasm_zfp.Zfp(mode="fixed-accuracy", tolerance=error_bound)
+        return numcodecs_wasm_zfp_classic.ZfpClassic(
+            mode="fixed-accuracy", tolerance=error_bound
+        )
diff --git a/src/climatebenchpress/compressor/compressors/zfp_round.py b/src/climatebenchpress/compressor/compressors/zfp_round.py
new file mode 100644
index 0000000..91e07ef
--- /dev/null
+++ b/src/climatebenchpress/compressor/compressors/zfp_round.py
@@ -0,0 +1,22 @@
+__all__ = ["ZfpRound"]
+
+import numcodecs_wasm_zfp
+
+from .abc import Compressor
+
+
+class ZfpRound(Compressor):
+    name = "zfp-round"
+    description = "ZFP-ROUND"
+
+    # NOTE:
+    # ZFP mechanism for strictly supporting relative error bounds is to
+    # truncate the floating point bit representation and then use ZFP's lossless
+    # mode for compression. This is essentially equivalent to the BitRound
+    # compressors we are already implementing (with a difference what the lossless
+    # compression algorithm is).
+    # See https://zfp.readthedocs.io/en/release1.0.1/faq.html#q-relerr for more details.
+
+    @staticmethod
+    def abs_bound_codec(dtype, error_bound):
+        return numcodecs_wasm_zfp.Zfp(mode="fixed-accuracy", tolerance=error_bound)