diff --git a/src/algorithms/ctmrg/ctmrg.jl b/src/algorithms/ctmrg/ctmrg.jl
index bba37f25..ee1c5262 100644
--- a/src/algorithms/ctmrg/ctmrg.jl
+++ b/src/algorithms/ctmrg/ctmrg.jl
@@ -91,6 +91,9 @@ ctmrgscheme(::CTMRG{S}) where {S} = S
 const SequentialCTMRG = CTMRG{:sequential}
 const SimultaneousCTMRG = CTMRG{:simultaneous}
 
+# supply correct constructor for Accessors.@set
+Accessors.constructorof(::Type{CTMRG{S}}) where {S} = CTMRG{S}
+
 """
     MPSKit.leading_boundary([envinit], state, alg::CTMRG)
 
@@ -118,7 +121,7 @@ function MPSKit.leading_boundary(envinit, state, alg::CTMRG)
             N = norm(state, env)
             ctmrg_logiter!(log, iter, η, N)
 
-            if η ≤ alg.tol
+            if η ≤ alg.tol && iter ≥ alg.miniter
                 ctmrg_logfinish!(log, iter, η, N)
                 break
             end